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Finding the Fourth Proportional to 2,494.18, 3,739.04 and 1,032.40

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Solution

The fourth proportional to 2,494.18, 3,739.04 and 1,032.40 is: 1,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.18 : 3,739.04 = 1,032.40 : x
  2. Step 2: Convert to fraction form
    2,494.18/3,739.04 = 1,032.40/x
  3. Step 3: Cross multiply
    2,494.18x = 3,739.04 × 1,032.40
  4. Step 4: Simplify right side
    2,494.18x = 3,860,184.90
  5. Step 5: Solve for x
    x = 3,860,184.90/2,494.18
  6. Step 6: Final answer
    x = 1,547.68

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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.