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Finding the Fourth Proportional to 1,875.56, 2,585.52 and 1,314.33

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Solution

The fourth proportional to 1,875.56, 2,585.52 and 1,314.33 is: 1,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.56 : 2,585.52 = 1,314.33 : x
  2. Step 2: Convert to fraction form
    1,875.56/2,585.52 = 1,314.33/x
  3. Step 3: Cross multiply
    1,875.56x = 2,585.52 × 1,314.33
  4. Step 4: Simplify right side
    1,875.56x = 3,398,216.81
  5. Step 5: Solve for x
    x = 3,398,216.81/1,875.56
  6. Step 6: Final answer
    x = 1,811.85

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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.