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Finding the Fourth Proportional to 2,333.76, 3,220.12 and 1,774.08

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Solution

The fourth proportional to 2,333.76, 3,220.12 and 1,774.08 is: 2,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.76 : 3,220.12 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    2,333.76/3,220.12 = 1,774.08/x
  3. Step 3: Cross multiply
    2,333.76x = 3,220.12 × 1,774.08
  4. Step 4: Simplify right side
    2,333.76x = 5,712,750.49
  5. Step 5: Solve for x
    x = 5,712,750.49/2,333.76
  6. Step 6: Final answer
    x = 2,447.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.