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Finding the Fourth Proportional to 1,310.88, 1,808.93 and 1,031.84

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Solution

The fourth proportional to 1,310.88, 1,808.93 and 1,031.84 is: 1,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.88 : 1,808.93 = 1,031.84 : x
  2. Step 2: Convert to fraction form
    1,310.88/1,808.93 = 1,031.84/x
  3. Step 3: Cross multiply
    1,310.88x = 1,808.93 × 1,031.84
  4. Step 4: Simplify right side
    1,310.88x = 1,866,526.65
  5. Step 5: Solve for x
    x = 1,866,526.65/1,310.88
  6. Step 6: Final answer
    x = 1,423.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.