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Finding the Fourth Proportional to 2,332.07, 3,498.06 and 945.35

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Solution

The fourth proportional to 2,332.07, 3,498.06 and 945.35 is: 1,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.07 : 3,498.06 = 945.35 : x
  2. Step 2: Convert to fraction form
    2,332.07/3,498.06 = 945.35/x
  3. Step 3: Cross multiply
    2,332.07x = 3,498.06 × 945.35
  4. Step 4: Simplify right side
    2,332.07x = 3,306,891.02
  5. Step 5: Solve for x
    x = 3,306,891.02/2,332.07
  6. Step 6: Final answer
    x = 1,418.01

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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.