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Finding the Fourth Proportional to 2,353.44, 3,530.46 and 710.04

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Solution

The fourth proportional to 2,353.44, 3,530.46 and 710.04 is: 1,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.44 : 3,530.46 = 710.04 : x
  2. Step 2: Convert to fraction form
    2,353.44/3,530.46 = 710.04/x
  3. Step 3: Cross multiply
    2,353.44x = 3,530.46 × 710.04
  4. Step 4: Simplify right side
    2,353.44x = 2,506,767.82
  5. Step 5: Solve for x
    x = 2,506,767.82/2,353.44
  6. Step 6: Final answer
    x = 1,065.15

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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.