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Finding the Fourth Proportional to 4,106.64, 6,160.14 and 1,508.16

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Solution

The fourth proportional to 4,106.64, 6,160.14 and 1,508.16 is: 2,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.64 : 6,160.14 = 1,508.16 : x
  2. Step 2: Convert to fraction form
    4,106.64/6,160.14 = 1,508.16/x
  3. Step 3: Cross multiply
    4,106.64x = 6,160.14 × 1,508.16
  4. Step 4: Simplify right side
    4,106.64x = 9,290,476.74
  5. Step 5: Solve for x
    x = 9,290,476.74/4,106.64
  6. Step 6: Final answer
    x = 2,262.31

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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.