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Finding the Fourth Proportional to 2,588.70, 3,883.68 and 1,848.77

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Solution

The fourth proportional to 2,588.70, 3,883.68 and 1,848.77 is: 2,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.70 : 3,883.68 = 1,848.77 : x
  2. Step 2: Convert to fraction form
    2,588.70/3,883.68 = 1,848.77/x
  3. Step 3: Cross multiply
    2,588.70x = 3,883.68 × 1,848.77
  4. Step 4: Simplify right side
    2,588.70x = 7,180,011.66
  5. Step 5: Solve for x
    x = 7,180,011.66/2,588.70
  6. Step 6: Final answer
    x = 2,773.60

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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.