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Finding the Fourth Proportional to 1,580.16, 2,180.67 and 872.02

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Solution

The fourth proportional to 1,580.16, 2,180.67 and 872.02 is: 1,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.16 : 2,180.67 = 872.02 : x
  2. Step 2: Convert to fraction form
    1,580.16/2,180.67 = 872.02/x
  3. Step 3: Cross multiply
    1,580.16x = 2,180.67 × 872.02
  4. Step 4: Simplify right side
    1,580.16x = 1,901,582.40
  5. Step 5: Solve for x
    x = 1,901,582.40/1,580.16
  6. Step 6: Final answer
    x = 1,203.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.