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Finding the Fourth Proportional to 2,345.95, 3,519.57 and 702.55

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Solution

The fourth proportional to 2,345.95, 3,519.57 and 702.55 is: 1,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.95 : 3,519.57 = 702.55 : x
  2. Step 2: Convert to fraction form
    2,345.95/3,519.57 = 702.55/x
  3. Step 3: Cross multiply
    2,345.95x = 3,519.57 × 702.55
  4. Step 4: Simplify right side
    2,345.95x = 2,472,673.90
  5. Step 5: Solve for x
    x = 2,472,673.90/2,345.95
  6. Step 6: Final answer
    x = 1,054.02

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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.