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Finding the Fourth Proportional to 1,614.92, 2,228.74 and 916.24

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Solution

The fourth proportional to 1,614.92, 2,228.74 and 916.24 is: 1,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.92 : 2,228.74 = 916.24 : x
  2. Step 2: Convert to fraction form
    1,614.92/2,228.74 = 916.24/x
  3. Step 3: Cross multiply
    1,614.92x = 2,228.74 × 916.24
  4. Step 4: Simplify right side
    1,614.92x = 2,042,060.74
  5. Step 5: Solve for x
    x = 2,042,060.74/1,614.92
  6. Step 6: Final answer
    x = 1,264.50

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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.