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Finding the Fourth Proportional to 1,547.47, 2,134.87 and 884.23

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Solution

The fourth proportional to 1,547.47, 2,134.87 and 884.23 is: 1,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.47 : 2,134.87 = 884.23 : x
  2. Step 2: Convert to fraction form
    1,547.47/2,134.87 = 884.23/x
  3. Step 3: Cross multiply
    1,547.47x = 2,134.87 × 884.23
  4. Step 4: Simplify right side
    1,547.47x = 1,887,716.10
  5. Step 5: Solve for x
    x = 1,887,716.10/1,547.47
  6. Step 6: Final answer
    x = 1,219.87

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1.5x scale

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.