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Finding the Fourth Proportional to 2,386.74, 3,580.03 and 1,088.20

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Solution

The fourth proportional to 2,386.74, 3,580.03 and 1,088.20 is: 1,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.74 : 3,580.03 = 1,088.20 : x
  2. Step 2: Convert to fraction form
    2,386.74/3,580.03 = 1,088.20/x
  3. Step 3: Cross multiply
    2,386.74x = 3,580.03 × 1,088.20
  4. Step 4: Simplify right side
    2,386.74x = 3,895,765.30
  5. Step 5: Solve for x
    x = 3,895,765.30/2,386.74
  6. Step 6: Final answer
    x = 1,632.25

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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.