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Finding the Fourth Proportional to 2,031.85, 3,045.95 and 800.10

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Solution

The fourth proportional to 2,031.85, 3,045.95 and 800.10 is: 1,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.85 : 3,045.95 = 800.10 : x
  2. Step 2: Convert to fraction form
    2,031.85/3,045.95 = 800.10/x
  3. Step 3: Cross multiply
    2,031.85x = 3,045.95 × 800.10
  4. Step 4: Simplify right side
    2,031.85x = 2,437,064.60
  5. Step 5: Solve for x
    x = 2,437,064.60/2,031.85
  6. Step 6: Final answer
    x = 1,199.43

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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.