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Finding the Fourth Proportional to 1,410.59, 2,112.51 and 915.95

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Solution

The fourth proportional to 1,410.59, 2,112.51 and 915.95 is: 1,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.59 : 2,112.51 = 915.95 : x
  2. Step 2: Convert to fraction form
    1,410.59/2,112.51 = 915.95/x
  3. Step 3: Cross multiply
    1,410.59x = 2,112.51 × 915.95
  4. Step 4: Simplify right side
    1,410.59x = 1,934,953.53
  5. Step 5: Solve for x
    x = 1,934,953.53/1,410.59
  6. Step 6: Final answer
    x = 1,371.73

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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.