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Finding the Fourth Proportional to 1,830.57, 2,526.13 and 1,044.57

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Solution

The fourth proportional to 1,830.57, 2,526.13 and 1,044.57 is: 1,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.57 : 2,526.13 = 1,044.57 : x
  2. Step 2: Convert to fraction form
    1,830.57/2,526.13 = 1,044.57/x
  3. Step 3: Cross multiply
    1,830.57x = 2,526.13 × 1,044.57
  4. Step 4: Simplify right side
    1,830.57x = 2,638,724.52
  5. Step 5: Solve for x
    x = 2,638,724.52/1,830.57
  6. Step 6: Final answer
    x = 1,441.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.