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Finding the Fourth Proportional to 1,765.54, 2,646.84 and 1,377.26

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Solution

The fourth proportional to 1,765.54, 2,646.84 and 1,377.26 is: 2,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.54 : 2,646.84 = 1,377.26 : x
  2. Step 2: Convert to fraction form
    1,765.54/2,646.84 = 1,377.26/x
  3. Step 3: Cross multiply
    1,765.54x = 2,646.84 × 1,377.26
  4. Step 4: Simplify right side
    1,765.54x = 3,645,386.86
  5. Step 5: Solve for x
    x = 3,645,386.86/1,765.54
  6. Step 6: Final answer
    x = 2,064.74

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