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Finding the Fourth Proportional to 2,973.76, 4,461.28 and 893.76

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Solution

The fourth proportional to 2,973.76, 4,461.28 and 893.76 is: 1,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.76 : 4,461.28 = 893.76 : x
  2. Step 2: Convert to fraction form
    2,973.76/4,461.28 = 893.76/x
  3. Step 3: Cross multiply
    2,973.76x = 4,461.28 × 893.76
  4. Step 4: Simplify right side
    2,973.76x = 3,987,313.61
  5. Step 5: Solve for x
    x = 3,987,313.61/2,973.76
  6. Step 6: Final answer
    x = 1,340.83

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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.