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Finding the Fourth Proportional to 1,798.66, 2,482.14 and 1,012.96

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Solution

The fourth proportional to 1,798.66, 2,482.14 and 1,012.96 is: 1,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.66 : 2,482.14 = 1,012.96 : x
  2. Step 2: Convert to fraction form
    1,798.66/2,482.14 = 1,012.96/x
  3. Step 3: Cross multiply
    1,798.66x = 2,482.14 × 1,012.96
  4. Step 4: Simplify right side
    1,798.66x = 2,514,308.53
  5. Step 5: Solve for x
    x = 2,514,308.53/1,798.66
  6. Step 6: Final answer
    x = 1,397.88

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Why These Related Problems?

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