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Finding the Fourth Proportional to 1,931.49, 2,897.24 and 470.64

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Solution

The fourth proportional to 1,931.49, 2,897.24 and 470.64 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.49 : 2,897.24 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,931.49/2,897.24 = 470.64/x
  3. Step 3: Cross multiply
    1,931.49x = 2,897.24 × 470.64
  4. Step 4: Simplify right side
    1,931.49x = 1,363,554.68
  5. Step 5: Solve for x
    x = 1,363,554.68/1,931.49
  6. Step 6: Final answer
    x = 705.96

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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.