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Finding the Fourth Proportional to 1,634.60, 2,451.90 and 710.60

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Solution

The fourth proportional to 1,634.60, 2,451.90 and 710.60 is: 1,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.60 : 2,451.90 = 710.60 : x
  2. Step 2: Convert to fraction form
    1,634.60/2,451.90 = 710.60/x
  3. Step 3: Cross multiply
    1,634.60x = 2,451.90 × 710.60
  4. Step 4: Simplify right side
    1,634.60x = 1,742,320.14
  5. Step 5: Solve for x
    x = 1,742,320.14/1,634.60
  6. Step 6: Final answer
    x = 1,065.90

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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.