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Finding the Fourth Proportional to 1,810.54, 2,498.64 and 1,024.66

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Solution

The fourth proportional to 1,810.54, 2,498.64 and 1,024.66 is: 1,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.54 : 2,498.64 = 1,024.66 : x
  2. Step 2: Convert to fraction form
    1,810.54/2,498.64 = 1,024.66/x
  3. Step 3: Cross multiply
    1,810.54x = 2,498.64 × 1,024.66
  4. Step 4: Simplify right side
    1,810.54x = 2,560,256.46
  5. Step 5: Solve for x
    x = 2,560,256.46/1,810.54
  6. Step 6: Final answer
    x = 1,414.08

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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.