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Finding the Fourth Proportional to 1,442.99, 2,152.32 and 1,209.17

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Solution

The fourth proportional to 1,442.99, 2,152.32 and 1,209.17 is: 1,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.99 : 2,152.32 = 1,209.17 : x
  2. Step 2: Convert to fraction form
    1,442.99/2,152.32 = 1,209.17/x
  3. Step 3: Cross multiply
    1,442.99x = 2,152.32 × 1,209.17
  4. Step 4: Simplify right side
    1,442.99x = 2,602,514.55
  5. Step 5: Solve for x
    x = 2,602,514.55/1,442.99
  6. Step 6: Final answer
    x = 1,803.56

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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.