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Finding the Fourth Proportional to 2,585.60, 3,875.52 and 2,007.04

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Solution

The fourth proportional to 2,585.60, 3,875.52 and 2,007.04 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.60 : 3,875.52 = 2,007.04 : x
  2. Step 2: Convert to fraction form
    2,585.60/3,875.52 = 2,007.04/x
  3. Step 3: Cross multiply
    2,585.60x = 3,875.52 × 2,007.04
  4. Step 4: Simplify right side
    2,585.60x = 7,778,323.66
  5. Step 5: Solve for x
    x = 7,778,323.66/2,585.60
  6. Step 6: Final answer
    x = 3,008.32

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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.