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Finding the Fourth Proportional to 1,853.39, 2,777.01 and 1,302.89

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Solution

The fourth proportional to 1,853.39, 2,777.01 and 1,302.89 is: 1,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.39 : 2,777.01 = 1,302.89 : x
  2. Step 2: Convert to fraction form
    1,853.39/2,777.01 = 1,302.89/x
  3. Step 3: Cross multiply
    1,853.39x = 2,777.01 × 1,302.89
  4. Step 4: Simplify right side
    1,853.39x = 3,618,124.67
  5. Step 5: Solve for x
    x = 3,618,124.67/1,853.39
  6. Step 6: Final answer
    x = 1,952.17

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