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Finding the Fourth Proportional to 1,593.32, 2,386.73 and 811.01

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Solution

The fourth proportional to 1,593.32, 2,386.73 and 811.01 is: 1,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.32 : 2,386.73 = 811.01 : x
  2. Step 2: Convert to fraction form
    1,593.32/2,386.73 = 811.01/x
  3. Step 3: Cross multiply
    1,593.32x = 2,386.73 × 811.01
  4. Step 4: Simplify right side
    1,593.32x = 1,935,671.60
  5. Step 5: Solve for x
    x = 1,935,671.60/1,593.32
  6. Step 6: Final answer
    x = 1,214.87

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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.