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Finding the Fourth Proportional to 1,946.92, 2,920.50 and 560.23

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Solution

The fourth proportional to 1,946.92, 2,920.50 and 560.23 is: 840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.92 : 2,920.50 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,946.92/2,920.50 = 560.23/x
  3. Step 3: Cross multiply
    1,946.92x = 2,920.50 × 560.23
  4. Step 4: Simplify right side
    1,946.92x = 1,636,148.13
  5. Step 5: Solve for x
    x = 1,636,148.13/1,946.92
  6. Step 6: Final answer
    x = 840.38

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