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Finding the Fourth Proportional to 1,657.90, 2,287.47 and 1,069.30

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Solution

The fourth proportional to 1,657.90, 2,287.47 and 1,069.30 is: 1,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.90 : 2,287.47 = 1,069.30 : x
  2. Step 2: Convert to fraction form
    1,657.90/2,287.47 = 1,069.30/x
  3. Step 3: Cross multiply
    1,657.90x = 2,287.47 × 1,069.30
  4. Step 4: Simplify right side
    1,657.90x = 2,445,991.67
  5. Step 5: Solve for x
    x = 2,445,991.67/1,657.90
  6. Step 6: Final answer
    x = 1,475.36

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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.