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Finding the Fourth Proportional to 1,411.47, 2,117.72 and 917.84

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Solution

The fourth proportional to 1,411.47, 2,117.72 and 917.84 is: 1,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.47 : 2,117.72 = 917.84 : x
  2. Step 2: Convert to fraction form
    1,411.47/2,117.72 = 917.84/x
  3. Step 3: Cross multiply
    1,411.47x = 2,117.72 × 917.84
  4. Step 4: Simplify right side
    1,411.47x = 1,943,728.12
  5. Step 5: Solve for x
    x = 1,943,728.12/1,411.47
  6. Step 6: Final answer
    x = 1,377.09

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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.