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Finding the Fourth Proportional to 1,619.60, 2,430.61 and 1,534.14

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Solution

The fourth proportional to 1,619.60, 2,430.61 and 1,534.14 is: 2,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.60 : 2,430.61 = 1,534.14 : x
  2. Step 2: Convert to fraction form
    1,619.60/2,430.61 = 1,534.14/x
  3. Step 3: Cross multiply
    1,619.60x = 2,430.61 × 1,534.14
  4. Step 4: Simplify right side
    1,619.60x = 3,728,892.19
  5. Step 5: Solve for x
    x = 3,728,892.19/1,619.60
  6. Step 6: Final answer
    x = 2,302.36

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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.