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Finding the Fourth Proportional to 2,347.65, 3,521.49 and 1,031.10

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Solution

The fourth proportional to 2,347.65, 3,521.49 and 1,031.10 is: 1,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.65 : 3,521.49 = 1,031.10 : x
  2. Step 2: Convert to fraction form
    2,347.65/3,521.49 = 1,031.10/x
  3. Step 3: Cross multiply
    2,347.65x = 3,521.49 × 1,031.10
  4. Step 4: Simplify right side
    2,347.65x = 3,631,008.34
  5. Step 5: Solve for x
    x = 3,631,008.34/2,347.65
  6. Step 6: Final answer
    x = 1,546.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.