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Finding the Fourth Proportional to 2,547.81, 3,514.93 and 1,663.58

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Solution

The fourth proportional to 2,547.81, 3,514.93 and 1,663.58 is: 2,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.81 : 3,514.93 = 1,663.58 : x
  2. Step 2: Convert to fraction form
    2,547.81/3,514.93 = 1,663.58/x
  3. Step 3: Cross multiply
    2,547.81x = 3,514.93 × 1,663.58
  4. Step 4: Simplify right side
    2,547.81x = 5,847,371.88
  5. Step 5: Solve for x
    x = 5,847,371.88/2,547.81
  6. Step 6: Final answer
    x = 2,295.06

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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.