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Finding the Fourth Proportional to 1,775.47, 2,657.62 and 1,288.39

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Solution

The fourth proportional to 1,775.47, 2,657.62 and 1,288.39 is: 1,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.47 : 2,657.62 = 1,288.39 : x
  2. Step 2: Convert to fraction form
    1,775.47/2,657.62 = 1,288.39/x
  3. Step 3: Cross multiply
    1,775.47x = 2,657.62 × 1,288.39
  4. Step 4: Simplify right side
    1,775.47x = 3,424,051.03
  5. Step 5: Solve for x
    x = 3,424,051.03/1,775.47
  6. Step 6: Final answer
    x = 1,928.53

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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.