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Finding the Fourth Proportional to 1,765.16, 2,641.62 and 1,071.44

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Solution

The fourth proportional to 1,765.16, 2,641.62 and 1,071.44 is: 1,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.16 : 2,641.62 = 1,071.44 : x
  2. Step 2: Convert to fraction form
    1,765.16/2,641.62 = 1,071.44/x
  3. Step 3: Cross multiply
    1,765.16x = 2,641.62 × 1,071.44
  4. Step 4: Simplify right side
    1,765.16x = 2,830,337.33
  5. Step 5: Solve for x
    x = 2,830,337.33/1,765.16
  6. Step 6: Final answer
    x = 1,603.45

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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.