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Finding the Fourth Proportional to 2,339.29, 3,508.94 and 697.06

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Solution

The fourth proportional to 2,339.29, 3,508.94 and 697.06 is: 1,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.29 : 3,508.94 = 697.06 : x
  2. Step 2: Convert to fraction form
    2,339.29/3,508.94 = 697.06/x
  3. Step 3: Cross multiply
    2,339.29x = 3,508.94 × 697.06
  4. Step 4: Simplify right side
    2,339.29x = 2,445,941.72
  5. Step 5: Solve for x
    x = 2,445,941.72/2,339.29
  6. Step 6: Final answer
    x = 1,045.59

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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.