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Finding the Fourth Proportional to 2,894.76, 4,342.95 and 2,459.09

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Solution

The fourth proportional to 2,894.76, 4,342.95 and 2,459.09 is: 3,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.76 : 4,342.95 = 2,459.09 : x
  2. Step 2: Convert to fraction form
    2,894.76/4,342.95 = 2,459.09/x
  3. Step 3: Cross multiply
    2,894.76x = 4,342.95 × 2,459.09
  4. Step 4: Simplify right side
    2,894.76x = 10,679,715.77
  5. Step 5: Solve for x
    x = 10,679,715.77/2,894.76
  6. Step 6: Final answer
    x = 3,689.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.