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Finding the Fourth Proportional to 1,581.03, 2,371.07 and 607.01

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Solution

The fourth proportional to 1,581.03, 2,371.07 and 607.01 is: 910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.03 : 2,371.07 = 607.01 : x
  2. Step 2: Convert to fraction form
    1,581.03/2,371.07 = 607.01/x
  3. Step 3: Cross multiply
    1,581.03x = 2,371.07 × 607.01
  4. Step 4: Simplify right side
    1,581.03x = 1,439,252.86
  5. Step 5: Solve for x
    x = 1,439,252.86/1,581.03
  6. Step 6: Final answer
    x = 910.33

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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.