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Finding the Fourth Proportional to 2,351.16, 3,526.79 and 707.76

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Solution

The fourth proportional to 2,351.16, 3,526.79 and 707.76 is: 1,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.16 : 3,526.79 = 707.76 : x
  2. Step 2: Convert to fraction form
    2,351.16/3,526.79 = 707.76/x
  3. Step 3: Cross multiply
    2,351.16x = 3,526.79 × 707.76
  4. Step 4: Simplify right side
    2,351.16x = 2,496,117.35
  5. Step 5: Solve for x
    x = 2,496,117.35/2,351.16
  6. Step 6: Final answer
    x = 1,061.65

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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.