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Finding the Fourth Proportional to 2,350.94, 3,526.38 and 707.44

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Solution

The fourth proportional to 2,350.94, 3,526.38 and 707.44 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.94 : 3,526.38 = 707.44 : x
  2. Step 2: Convert to fraction form
    2,350.94/3,526.38 = 707.44/x
  3. Step 3: Cross multiply
    2,350.94x = 3,526.38 × 707.44
  4. Step 4: Simplify right side
    2,350.94x = 2,494,702.27
  5. Step 5: Solve for x
    x = 2,494,702.27/2,350.94
  6. Step 6: Final answer
    x = 1,061.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.