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Finding the Fourth Proportional to 2,866.02, 4,300.62 and 1,549.74

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Solution

The fourth proportional to 2,866.02, 4,300.62 and 1,549.74 is: 2,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.02 : 4,300.62 = 1,549.74 : x
  2. Step 2: Convert to fraction form
    2,866.02/4,300.62 = 1,549.74/x
  3. Step 3: Cross multiply
    2,866.02x = 4,300.62 × 1,549.74
  4. Step 4: Simplify right side
    2,866.02x = 6,664,842.84
  5. Step 5: Solve for x
    x = 6,664,842.84/2,866.02
  6. Step 6: Final answer
    x = 2,325.47

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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.