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Finding the Fourth Proportional to 2,547.32, 3,513.12 and 1,662.80

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Solution

The fourth proportional to 2,547.32, 3,513.12 and 1,662.80 is: 2,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.32 : 3,513.12 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    2,547.32/3,513.12 = 1,662.80/x
  3. Step 3: Cross multiply
    2,547.32x = 3,513.12 × 1,662.80
  4. Step 4: Simplify right side
    2,547.32x = 5,841,615.94
  5. Step 5: Solve for x
    x = 5,841,615.94/2,547.32
  6. Step 6: Final answer
    x = 2,293.24

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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.