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Finding the Fourth Proportional to 2,113.83, 3,155.46 and 1,854.63

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Solution

The fourth proportional to 2,113.83, 3,155.46 and 1,854.63 is: 2,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.83 : 3,155.46 = 1,854.63 : x
  2. Step 2: Convert to fraction form
    2,113.83/3,155.46 = 1,854.63/x
  3. Step 3: Cross multiply
    2,113.83x = 3,155.46 × 1,854.63
  4. Step 4: Simplify right side
    2,113.83x = 5,852,197.32
  5. Step 5: Solve for x
    x = 5,852,197.32/2,113.83
  6. Step 6: Final answer
    x = 2,768.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.