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Finding the Fourth Proportional to 2,395.76, 3,594.18 and 753.08

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Solution

The fourth proportional to 2,395.76, 3,594.18 and 753.08 is: 1,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.76 : 3,594.18 = 753.08 : x
  2. Step 2: Convert to fraction form
    2,395.76/3,594.18 = 753.08/x
  3. Step 3: Cross multiply
    2,395.76x = 3,594.18 × 753.08
  4. Step 4: Simplify right side
    2,395.76x = 2,706,705.07
  5. Step 5: Solve for x
    x = 2,706,705.07/2,395.76
  6. Step 6: Final answer
    x = 1,129.79

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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.