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Finding the Fourth Proportional to 2,486.16, 3,725.88 and 1,024.08

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Solution

The fourth proportional to 2,486.16, 3,725.88 and 1,024.08 is: 1,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.16 : 3,725.88 = 1,024.08 : x
  2. Step 2: Convert to fraction form
    2,486.16/3,725.88 = 1,024.08/x
  3. Step 3: Cross multiply
    2,486.16x = 3,725.88 × 1,024.08
  4. Step 4: Simplify right side
    2,486.16x = 3,815,599.19
  5. Step 5: Solve for x
    x = 3,815,599.19/2,486.16
  6. Step 6: Final answer
    x = 1,534.74

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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.