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Finding the Fourth Proportional to 1,607.34, 2,409.18 and 1,146.24

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Solution

The fourth proportional to 1,607.34, 2,409.18 and 1,146.24 is: 1,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.34 : 2,409.18 = 1,146.24 : x
  2. Step 2: Convert to fraction form
    1,607.34/2,409.18 = 1,146.24/x
  3. Step 3: Cross multiply
    1,607.34x = 2,409.18 × 1,146.24
  4. Step 4: Simplify right side
    1,607.34x = 2,761,498.48
  5. Step 5: Solve for x
    x = 2,761,498.48/1,607.34
  6. Step 6: Final answer
    x = 1,718.05

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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.