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Finding the Fourth Proportional to 2,351.25, 3,526.74 and 707.76

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Solution

The fourth proportional to 2,351.25, 3,526.74 and 707.76 is: 1,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.25 : 3,526.74 = 707.76 : x
  2. Step 2: Convert to fraction form
    2,351.25/3,526.74 = 707.76/x
  3. Step 3: Cross multiply
    2,351.25x = 3,526.74 × 707.76
  4. Step 4: Simplify right side
    2,351.25x = 2,496,085.50
  5. Step 5: Solve for x
    x = 2,496,085.50/2,351.25
  6. Step 6: Final answer
    x = 1,061.60

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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.