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Finding the Fourth Proportional to 2,335.14, 3,501.54 and 691.50

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Solution

The fourth proportional to 2,335.14, 3,501.54 and 691.50 is: 1,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.14 : 3,501.54 = 691.50 : x
  2. Step 2: Convert to fraction form
    2,335.14/3,501.54 = 691.50/x
  3. Step 3: Cross multiply
    2,335.14x = 3,501.54 × 691.50
  4. Step 4: Simplify right side
    2,335.14x = 2,421,314.91
  5. Step 5: Solve for x
    x = 2,421,314.91/2,335.14
  6. Step 6: Final answer
    x = 1,036.90

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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.