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Finding the Fourth Proportional to 1,588.01, 2,381.40 and 492.08

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Solution

The fourth proportional to 1,588.01, 2,381.40 and 492.08 is: 737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.01 : 2,381.40 = 492.08 : x
  2. Step 2: Convert to fraction form
    1,588.01/2,381.40 = 492.08/x
  3. Step 3: Cross multiply
    1,588.01x = 2,381.40 × 492.08
  4. Step 4: Simplify right side
    1,588.01x = 1,171,827.41
  5. Step 5: Solve for x
    x = 1,171,827.41/1,588.01
  6. Step 6: Final answer
    x = 737.92

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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.