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Finding the Fourth Proportional to 1,547.57, 2,135.49 and 884.28

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Solution

The fourth proportional to 1,547.57, 2,135.49 and 884.28 is: 1,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.57 : 2,135.49 = 884.28 : x
  2. Step 2: Convert to fraction form
    1,547.57/2,135.49 = 884.28/x
  3. Step 3: Cross multiply
    1,547.57x = 2,135.49 × 884.28
  4. Step 4: Simplify right side
    1,547.57x = 1,888,371.10
  5. Step 5: Solve for x
    x = 1,888,371.10/1,547.57
  6. Step 6: Final answer
    x = 1,220.22

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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.