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Finding the Fourth Proportional to 2,345.91, 3,524.34 and 2,017.86

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Solution

The fourth proportional to 2,345.91, 3,524.34 and 2,017.86 is: 3,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.91 : 3,524.34 = 2,017.86 : x
  2. Step 2: Convert to fraction form
    2,345.91/3,524.34 = 2,017.86/x
  3. Step 3: Cross multiply
    2,345.91x = 3,524.34 × 2,017.86
  4. Step 4: Simplify right side
    2,345.91x = 7,111,624.71
  5. Step 5: Solve for x
    x = 7,111,624.71/2,345.91
  6. Step 6: Final answer
    x = 3,031.50

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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.