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Finding the Fourth Proportional to 1,810.96, 2,498.37 and 1,102.54

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Solution

The fourth proportional to 1,810.96, 2,498.37 and 1,102.54 is: 1,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.96 : 2,498.37 = 1,102.54 : x
  2. Step 2: Convert to fraction form
    1,810.96/2,498.37 = 1,102.54/x
  3. Step 3: Cross multiply
    1,810.96x = 2,498.37 × 1,102.54
  4. Step 4: Simplify right side
    1,810.96x = 2,754,552.86
  5. Step 5: Solve for x
    x = 2,754,552.86/1,810.96
  6. Step 6: Final answer
    x = 1,521.05

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