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Finding the Fourth Proportional to 1,665.48, 2,294.52 and 1,587.72

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Solution

The fourth proportional to 1,665.48, 2,294.52 and 1,587.72 is: 2,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.48 : 2,294.52 = 1,587.72 : x
  2. Step 2: Convert to fraction form
    1,665.48/2,294.52 = 1,587.72/x
  3. Step 3: Cross multiply
    1,665.48x = 2,294.52 × 1,587.72
  4. Step 4: Simplify right side
    1,665.48x = 3,643,055.29
  5. Step 5: Solve for x
    x = 3,643,055.29/1,665.48
  6. Step 6: Final answer
    x = 2,187.39

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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.