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Finding the Fourth Proportional to 1,587.54, 2,190.68 and 888.78

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Solution

The fourth proportional to 1,587.54, 2,190.68 and 888.78 is: 1,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.54 : 2,190.68 = 888.78 : x
  2. Step 2: Convert to fraction form
    1,587.54/2,190.68 = 888.78/x
  3. Step 3: Cross multiply
    1,587.54x = 2,190.68 × 888.78
  4. Step 4: Simplify right side
    1,587.54x = 1,947,032.57
  5. Step 5: Solve for x
    x = 1,947,032.57/1,587.54
  6. Step 6: Final answer
    x = 1,226.45

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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.