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Finding the Fourth Proportional to 1,798.12, 2,686.13 and 1,506.52

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Solution

The fourth proportional to 1,798.12, 2,686.13 and 1,506.52 is: 2,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.12 : 2,686.13 = 1,506.52 : x
  2. Step 2: Convert to fraction form
    1,798.12/2,686.13 = 1,506.52/x
  3. Step 3: Cross multiply
    1,798.12x = 2,686.13 × 1,506.52
  4. Step 4: Simplify right side
    1,798.12x = 4,046,708.57
  5. Step 5: Solve for x
    x = 4,046,708.57/1,798.12
  6. Step 6: Final answer
    x = 2,250.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.