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Finding the Fourth Proportional to 1,588.13, 2,381.32 and 547.55

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Solution

The fourth proportional to 1,588.13, 2,381.32 and 547.55 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.13 : 2,381.32 = 547.55 : x
  2. Step 2: Convert to fraction form
    1,588.13/2,381.32 = 547.55/x
  3. Step 3: Cross multiply
    1,588.13x = 2,381.32 × 547.55
  4. Step 4: Simplify right side
    1,588.13x = 1,303,878.49
  5. Step 5: Solve for x
    x = 1,303,878.49/1,588.13
  6. Step 6: Final answer
    x = 821.02

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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.