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Finding the Fourth Proportional to 1,442.86, 2,152.14 and 1,209.04

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Solution

The fourth proportional to 1,442.86, 2,152.14 and 1,209.04 is: 1,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.86 : 2,152.14 = 1,209.04 : x
  2. Step 2: Convert to fraction form
    1,442.86/2,152.14 = 1,209.04/x
  3. Step 3: Cross multiply
    1,442.86x = 2,152.14 × 1,209.04
  4. Step 4: Simplify right side
    1,442.86x = 2,602,020.32
  5. Step 5: Solve for x
    x = 2,602,020.32/1,442.86
  6. Step 6: Final answer
    x = 1,803.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.