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Finding the Fourth Proportional to 2,547.03, 3,514.95 and 1,427.97

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Solution

The fourth proportional to 2,547.03, 3,514.95 and 1,427.97 is: 1,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.03 : 3,514.95 = 1,427.97 : x
  2. Step 2: Convert to fraction form
    2,547.03/3,514.95 = 1,427.97/x
  3. Step 3: Cross multiply
    2,547.03x = 3,514.95 × 1,427.97
  4. Step 4: Simplify right side
    2,547.03x = 5,019,243.15
  5. Step 5: Solve for x
    x = 5,019,243.15/2,547.03
  6. Step 6: Final answer
    x = 1,970.63

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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.