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Finding the Fourth Proportional to 1,566.14, 2,351.50 and 874.15

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Solution

The fourth proportional to 1,566.14, 2,351.50 and 874.15 is: 1,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,351.50 = 874.15 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,351.50 = 874.15/x
  3. Step 3: Cross multiply
    1,566.14x = 2,351.50 × 874.15
  4. Step 4: Simplify right side
    1,566.14x = 2,055,555.66
  5. Step 5: Solve for x
    x = 2,055,555.66/1,566.14
  6. Step 6: Final answer
    x = 1,312.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.