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Finding the Fourth Proportional to 2,658.48, 3,987.36 and 926.88

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Solution

The fourth proportional to 2,658.48, 3,987.36 and 926.88 is: 1,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.48 : 3,987.36 = 926.88 : x
  2. Step 2: Convert to fraction form
    2,658.48/3,987.36 = 926.88/x
  3. Step 3: Cross multiply
    2,658.48x = 3,987.36 × 926.88
  4. Step 4: Simplify right side
    2,658.48x = 3,695,804.24
  5. Step 5: Solve for x
    x = 3,695,804.24/2,658.48
  6. Step 6: Final answer
    x = 1,390.19

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1.5x scale

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.