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Finding the Fourth Proportional to 1,623.64, 2,237.14 and 1,098.76

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Solution

The fourth proportional to 1,623.64, 2,237.14 and 1,098.76 is: 1,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.64 : 2,237.14 = 1,098.76 : x
  2. Step 2: Convert to fraction form
    1,623.64/2,237.14 = 1,098.76/x
  3. Step 3: Cross multiply
    1,623.64x = 2,237.14 × 1,098.76
  4. Step 4: Simplify right side
    1,623.64x = 2,458,079.95
  5. Step 5: Solve for x
    x = 2,458,079.95/1,623.64
  6. Step 6: Final answer
    x = 1,513.93

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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.