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Finding the Fourth Proportional to 2,531.99, 3,798.02 and 1,070.15

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Solution

The fourth proportional to 2,531.99, 3,798.02 and 1,070.15 is: 1,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.99 : 3,798.02 = 1,070.15 : x
  2. Step 2: Convert to fraction form
    2,531.99/3,798.02 = 1,070.15/x
  3. Step 3: Cross multiply
    2,531.99x = 3,798.02 × 1,070.15
  4. Step 4: Simplify right side
    2,531.99x = 4,064,434.79
  5. Step 5: Solve for x
    x = 4,064,434.79/2,531.99
  6. Step 6: Final answer
    x = 1,605.23

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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.