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Finding the Fourth Proportional to 1,588.70, 2,192.42 and 925.95

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Solution

The fourth proportional to 1,588.70, 2,192.42 and 925.95 is: 1,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.70 : 2,192.42 = 925.95 : x
  2. Step 2: Convert to fraction form
    1,588.70/2,192.42 = 925.95/x
  3. Step 3: Cross multiply
    1,588.70x = 2,192.42 × 925.95
  4. Step 4: Simplify right side
    1,588.70x = 2,030,066.67
  5. Step 5: Solve for x
    x = 2,030,066.67/1,588.70
  6. Step 6: Final answer
    x = 1,277.82

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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.