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Finding the Fourth Proportional to 2,084.78, 3,127.93 and 975.17

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Solution

The fourth proportional to 2,084.78, 3,127.93 and 975.17 is: 1,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.78 : 3,127.93 = 975.17 : x
  2. Step 2: Convert to fraction form
    2,084.78/3,127.93 = 975.17/x
  3. Step 3: Cross multiply
    2,084.78x = 3,127.93 × 975.17
  4. Step 4: Simplify right side
    2,084.78x = 3,050,268.88
  5. Step 5: Solve for x
    x = 3,050,268.88/2,084.78
  6. Step 6: Final answer
    x = 1,463.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.