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Finding the Fourth Proportional to 2,900.32, 4,350.40 and 709.08

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Solution

The fourth proportional to 2,900.32, 4,350.40 and 709.08 is: 1,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.32 : 4,350.40 = 709.08 : x
  2. Step 2: Convert to fraction form
    2,900.32/4,350.40 = 709.08/x
  3. Step 3: Cross multiply
    2,900.32x = 4,350.40 × 709.08
  4. Step 4: Simplify right side
    2,900.32x = 3,084,781.63
  5. Step 5: Solve for x
    x = 3,084,781.63/2,900.32
  6. Step 6: Final answer
    x = 1,063.60

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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.