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Finding the Fourth Proportional to 2,148.83, 3,223.03 and 588.77

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Solution

The fourth proportional to 2,148.83, 3,223.03 and 588.77 is: 883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.83 : 3,223.03 = 588.77 : x
  2. Step 2: Convert to fraction form
    2,148.83/3,223.03 = 588.77/x
  3. Step 3: Cross multiply
    2,148.83x = 3,223.03 × 588.77
  4. Step 4: Simplify right side
    2,148.83x = 1,897,607.26
  5. Step 5: Solve for x
    x = 1,897,607.26/2,148.83
  6. Step 6: Final answer
    x = 883.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.