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Finding the Fourth Proportional to 1,674.27, 2,310.75 and 975.63

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Solution

The fourth proportional to 1,674.27, 2,310.75 and 975.63 is: 1,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.27 : 2,310.75 = 975.63 : x
  2. Step 2: Convert to fraction form
    1,674.27/2,310.75 = 975.63/x
  3. Step 3: Cross multiply
    1,674.27x = 2,310.75 × 975.63
  4. Step 4: Simplify right side
    1,674.27x = 2,254,437.02
  5. Step 5: Solve for x
    x = 2,254,437.02/1,674.27
  6. Step 6: Final answer
    x = 1,346.52

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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.