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Finding the Fourth Proportional to 2,434.40, 3,652.30 and 703.02

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Solution

The fourth proportional to 2,434.40, 3,652.30 and 703.02 is: 1,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.40 : 3,652.30 = 703.02 : x
  2. Step 2: Convert to fraction form
    2,434.40/3,652.30 = 703.02/x
  3. Step 3: Cross multiply
    2,434.40x = 3,652.30 × 703.02
  4. Step 4: Simplify right side
    2,434.40x = 2,567,639.95
  5. Step 5: Solve for x
    x = 2,567,639.95/2,434.40
  6. Step 6: Final answer
    x = 1,054.73

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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.