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Finding the Fourth Proportional to 1,547.53, 2,135.61 and 884.38

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Solution

The fourth proportional to 1,547.53, 2,135.61 and 884.38 is: 1,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.53 : 2,135.61 = 884.38 : x
  2. Step 2: Convert to fraction form
    1,547.53/2,135.61 = 884.38/x
  3. Step 3: Cross multiply
    1,547.53x = 2,135.61 × 884.38
  4. Step 4: Simplify right side
    1,547.53x = 1,888,685.43
  5. Step 5: Solve for x
    x = 1,888,685.43/1,547.53
  6. Step 6: Final answer
    x = 1,220.45

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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.