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Finding the Fourth Proportional to 1,415.16, 2,121.93 and 549

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Solution

The fourth proportional to 1,415.16, 2,121.93 and 549 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 2,121.93 = 549 : x
  2. Step 2: Convert to fraction form
    1,415.16/2,121.93 = 549/x
  3. Step 3: Cross multiply
    1,415.16x = 2,121.93 × 549
  4. Step 4: Simplify right side
    1,415.16x = 1,164,939.57
  5. Step 5: Solve for x
    x = 1,164,939.57/1,415.16
  6. Step 6: Final answer
    x = 823.19

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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.