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Finding the Fourth Proportional to 2,098.98, 3,133.22 and 1,925.64

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Solution

The fourth proportional to 2,098.98, 3,133.22 and 1,925.64 is: 2,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.98 : 3,133.22 = 1,925.64 : x
  2. Step 2: Convert to fraction form
    2,098.98/3,133.22 = 1,925.64/x
  3. Step 3: Cross multiply
    2,098.98x = 3,133.22 × 1,925.64
  4. Step 4: Simplify right side
    2,098.98x = 6,033,444.13
  5. Step 5: Solve for x
    x = 6,033,444.13/2,098.98
  6. Step 6: Final answer
    x = 2,874.46

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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.