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Finding the Fourth Proportional to 1,866.24, 2,798.12 and 1,044.60

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Solution

The fourth proportional to 1,866.24, 2,798.12 and 1,044.60 is: 1,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.24 : 2,798.12 = 1,044.60 : x
  2. Step 2: Convert to fraction form
    1,866.24/2,798.12 = 1,044.60/x
  3. Step 3: Cross multiply
    1,866.24x = 2,798.12 × 1,044.60
  4. Step 4: Simplify right side
    1,866.24x = 2,922,916.15
  5. Step 5: Solve for x
    x = 2,922,916.15/1,866.24
  6. Step 6: Final answer
    x = 1,566.21

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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.