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Finding the Fourth Proportional to 1,411.02, 1,946.43 and 913.68

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Solution

The fourth proportional to 1,411.02, 1,946.43 and 913.68 is: 1,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.02 : 1,946.43 = 913.68 : x
  2. Step 2: Convert to fraction form
    1,411.02/1,946.43 = 913.68/x
  3. Step 3: Cross multiply
    1,411.02x = 1,946.43 × 913.68
  4. Step 4: Simplify right side
    1,411.02x = 1,778,414.16
  5. Step 5: Solve for x
    x = 1,778,414.16/1,411.02
  6. Step 6: Final answer
    x = 1,260.37

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