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Finding the Fourth Proportional to 1,772.41, 2,445.97 and 975.75

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Solution

The fourth proportional to 1,772.41, 2,445.97 and 975.75 is: 1,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.41 : 2,445.97 = 975.75 : x
  2. Step 2: Convert to fraction form
    1,772.41/2,445.97 = 975.75/x
  3. Step 3: Cross multiply
    1,772.41x = 2,445.97 × 975.75
  4. Step 4: Simplify right side
    1,772.41x = 2,386,648.19
  5. Step 5: Solve for x
    x = 2,386,648.19/1,772.41
  6. Step 6: Final answer
    x = 1,346.56

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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.