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Finding the Fourth Proportional to 1,411.34, 2,117.19 and 717.77

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Solution

The fourth proportional to 1,411.34, 2,117.19 and 717.77 is: 1,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.34 : 2,117.19 = 717.77 : x
  2. Step 2: Convert to fraction form
    1,411.34/2,117.19 = 717.77/x
  3. Step 3: Cross multiply
    1,411.34x = 2,117.19 × 717.77
  4. Step 4: Simplify right side
    1,411.34x = 1,519,655.47
  5. Step 5: Solve for x
    x = 1,519,655.47/1,411.34
  6. Step 6: Final answer
    x = 1,076.75

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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.