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Finding the Fourth Proportional to 1,873.52, 2,585.48 and 1,087.80

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Solution

The fourth proportional to 1,873.52, 2,585.48 and 1,087.80 is: 1,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.52 : 2,585.48 = 1,087.80 : x
  2. Step 2: Convert to fraction form
    1,873.52/2,585.48 = 1,087.80/x
  3. Step 3: Cross multiply
    1,873.52x = 2,585.48 × 1,087.80
  4. Step 4: Simplify right side
    1,873.52x = 2,812,485.14
  5. Step 5: Solve for x
    x = 2,812,485.14/1,873.52
  6. Step 6: Final answer
    x = 1,501.18

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Why These Related Problems?

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