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Finding the Fourth Proportional to 2,431.32, 3,648.76 and 970.90

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Solution

The fourth proportional to 2,431.32, 3,648.76 and 970.90 is: 1,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.32 : 3,648.76 = 970.90 : x
  2. Step 2: Convert to fraction form
    2,431.32/3,648.76 = 970.90/x
  3. Step 3: Cross multiply
    2,431.32x = 3,648.76 × 970.90
  4. Step 4: Simplify right side
    2,431.32x = 3,542,581.08
  5. Step 5: Solve for x
    x = 3,542,581.08/2,431.32
  6. Step 6: Final answer
    x = 1,457.06

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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.