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Finding the Fourth Proportional to 2,811.46, 4,218.15 and 1,442.50

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Solution

The fourth proportional to 2,811.46, 4,218.15 and 1,442.50 is: 2,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.46 : 4,218.15 = 1,442.50 : x
  2. Step 2: Convert to fraction form
    2,811.46/4,218.15 = 1,442.50/x
  3. Step 3: Cross multiply
    2,811.46x = 4,218.15 × 1,442.50
  4. Step 4: Simplify right side
    2,811.46x = 6,084,681.38
  5. Step 5: Solve for x
    x = 6,084,681.38/2,811.46
  6. Step 6: Final answer
    x = 2,164.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.