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Finding the Fourth Proportional to 2,430.62, 3,642.86 and 1,320

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Solution

The fourth proportional to 2,430.62, 3,642.86 and 1,320 is: 1,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.62 : 3,642.86 = 1,320 : x
  2. Step 2: Convert to fraction form
    2,430.62/3,642.86 = 1,320/x
  3. Step 3: Cross multiply
    2,430.62x = 3,642.86 × 1,320
  4. Step 4: Simplify right side
    2,430.62x = 4,808,575.20
  5. Step 5: Solve for x
    x = 4,808,575.20/2,430.62
  6. Step 6: Final answer
    x = 1,978.33

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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.