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Finding the Fourth Proportional to 1,537.17, 2,121.23 and 873.93

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Solution

The fourth proportional to 1,537.17, 2,121.23 and 873.93 is: 1,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.17 : 2,121.23 = 873.93 : x
  2. Step 2: Convert to fraction form
    1,537.17/2,121.23 = 873.93/x
  3. Step 3: Cross multiply
    1,537.17x = 2,121.23 × 873.93
  4. Step 4: Simplify right side
    1,537.17x = 1,853,802.16
  5. Step 5: Solve for x
    x = 1,853,802.16/1,537.17
  6. Step 6: Final answer
    x = 1,205.98

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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.