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Finding the Fourth Proportional to 1,875.81, 2,585.87 and 1,314.58

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Solution

The fourth proportional to 1,875.81, 2,585.87 and 1,314.58 is: 1,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.81 : 2,585.87 = 1,314.58 : x
  2. Step 2: Convert to fraction form
    1,875.81/2,585.87 = 1,314.58/x
  3. Step 3: Cross multiply
    1,875.81x = 2,585.87 × 1,314.58
  4. Step 4: Simplify right side
    1,875.81x = 3,399,319.95
  5. Step 5: Solve for x
    x = 3,399,319.95/1,875.81
  6. Step 6: Final answer
    x = 1,812.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.