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Finding the Fourth Proportional to 1,572.02, 2,169.30 and 909.08

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Solution

The fourth proportional to 1,572.02, 2,169.30 and 909.08 is: 1,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.02 : 2,169.30 = 909.08 : x
  2. Step 2: Convert to fraction form
    1,572.02/2,169.30 = 909.08/x
  3. Step 3: Cross multiply
    1,572.02x = 2,169.30 × 909.08
  4. Step 4: Simplify right side
    1,572.02x = 1,972,067.24
  5. Step 5: Solve for x
    x = 1,972,067.24/1,572.02
  6. Step 6: Final answer
    x = 1,254.48

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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.