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Finding the Fourth Proportional to 2,345.60, 3,518.43 and 614.22

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Solution

The fourth proportional to 2,345.60, 3,518.43 and 614.22 is: 921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.60 : 3,518.43 = 614.22 : x
  2. Step 2: Convert to fraction form
    2,345.60/3,518.43 = 614.22/x
  3. Step 3: Cross multiply
    2,345.60x = 3,518.43 × 614.22
  4. Step 4: Simplify right side
    2,345.60x = 2,161,087.00
  5. Step 5: Solve for x
    x = 2,161,087.00/2,345.60
  6. Step 6: Final answer
    x = 921.34

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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.