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Finding the Fourth Proportional to 1,690.81, 2,534.05 and 1,470.52

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Solution

The fourth proportional to 1,690.81, 2,534.05 and 1,470.52 is: 2,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.81 : 2,534.05 = 1,470.52 : x
  2. Step 2: Convert to fraction form
    1,690.81/2,534.05 = 1,470.52/x
  3. Step 3: Cross multiply
    1,690.81x = 2,534.05 × 1,470.52
  4. Step 4: Simplify right side
    1,690.81x = 3,726,376.21
  5. Step 5: Solve for x
    x = 3,726,376.21/1,690.81
  6. Step 6: Final answer
    x = 2,203.90

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