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Finding the Fourth Proportional to 2,154.98, 3,228.54 and 1,810.52

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Solution

The fourth proportional to 2,154.98, 3,228.54 and 1,810.52 is: 2,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.98 : 3,228.54 = 1,810.52 : x
  2. Step 2: Convert to fraction form
    2,154.98/3,228.54 = 1,810.52/x
  3. Step 3: Cross multiply
    2,154.98x = 3,228.54 × 1,810.52
  4. Step 4: Simplify right side
    2,154.98x = 5,845,320.10
  5. Step 5: Solve for x
    x = 5,845,320.10/2,154.98
  6. Step 6: Final answer
    x = 2,712.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.