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Finding the Fourth Proportional to 3,104.59, 4,657.40 and 1,024.72

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Solution

The fourth proportional to 3,104.59, 4,657.40 and 1,024.72 is: 1,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.59 : 4,657.40 = 1,024.72 : x
  2. Step 2: Convert to fraction form
    3,104.59/4,657.40 = 1,024.72/x
  3. Step 3: Cross multiply
    3,104.59x = 4,657.40 × 1,024.72
  4. Step 4: Simplify right side
    3,104.59x = 4,772,530.93
  5. Step 5: Solve for x
    x = 4,772,530.93/3,104.59
  6. Step 6: Final answer
    x = 1,537.25

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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.