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Finding the Fourth Proportional to 2,345.76, 3,518.82 and 702.27

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Solution

The fourth proportional to 2,345.76, 3,518.82 and 702.27 is: 1,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,518.82 = 702.27 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,518.82 = 702.27/x
  3. Step 3: Cross multiply
    2,345.76x = 3,518.82 × 702.27
  4. Step 4: Simplify right side
    2,345.76x = 2,471,161.72
  5. Step 5: Solve for x
    x = 2,471,161.72/2,345.76
  6. Step 6: Final answer
    x = 1,053.46

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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.