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Finding the Fourth Proportional to 2,041.18, 3,061.35 and 580.30

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Solution

The fourth proportional to 2,041.18, 3,061.35 and 580.30 is: 870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.18 : 3,061.35 = 580.30 : x
  2. Step 2: Convert to fraction form
    2,041.18/3,061.35 = 580.30/x
  3. Step 3: Cross multiply
    2,041.18x = 3,061.35 × 580.30
  4. Step 4: Simplify right side
    2,041.18x = 1,776,501.41
  5. Step 5: Solve for x
    x = 1,776,501.41/2,041.18
  6. Step 6: Final answer
    x = 870.33

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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.