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Finding the Fourth Proportional to 1,684.04, 2,324 and 975.88

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Solution

The fourth proportional to 1,684.04, 2,324 and 975.88 is: 1,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.04 : 2,324 = 975.88 : x
  2. Step 2: Convert to fraction form
    1,684.04/2,324 = 975.88/x
  3. Step 3: Cross multiply
    1,684.04x = 2,324 × 975.88
  4. Step 4: Simplify right side
    1,684.04x = 2,267,945.12
  5. Step 5: Solve for x
    x = 2,267,945.12/1,684.04
  6. Step 6: Final answer
    x = 1,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.