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Finding the Fourth Proportional to 1,674.48, 2,310.80 and 975.92

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Solution

The fourth proportional to 1,674.48, 2,310.80 and 975.92 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.48 : 2,310.80 = 975.92 : x
  2. Step 2: Convert to fraction form
    1,674.48/2,310.80 = 975.92/x
  3. Step 3: Cross multiply
    1,674.48x = 2,310.80 × 975.92
  4. Step 4: Simplify right side
    1,674.48x = 2,255,155.94
  5. Step 5: Solve for x
    x = 2,255,155.94/1,674.48
  6. Step 6: Final answer
    x = 1,346.78

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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.