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Finding the Fourth Proportional to 2,315.58, 3,473.10 and 928.86

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Solution

The fourth proportional to 2,315.58, 3,473.10 and 928.86 is: 1,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.58 : 3,473.10 = 928.86 : x
  2. Step 2: Convert to fraction form
    2,315.58/3,473.10 = 928.86/x
  3. Step 3: Cross multiply
    2,315.58x = 3,473.10 × 928.86
  4. Step 4: Simplify right side
    2,315.58x = 3,226,023.67
  5. Step 5: Solve for x
    x = 3,226,023.67/2,315.58
  6. Step 6: Final answer
    x = 1,393.18

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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.