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Finding the Fourth Proportional to 1,588.80, 2,192.49 and 925.55

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Solution

The fourth proportional to 1,588.80, 2,192.49 and 925.55 is: 1,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.80 : 2,192.49 = 925.55 : x
  2. Step 2: Convert to fraction form
    1,588.80/2,192.49 = 925.55/x
  3. Step 3: Cross multiply
    1,588.80x = 2,192.49 × 925.55
  4. Step 4: Simplify right side
    1,588.80x = 2,029,248.16
  5. Step 5: Solve for x
    x = 2,029,248.16/1,588.80
  6. Step 6: Final answer
    x = 1,277.22

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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.