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Finding the Fourth Proportional to 1,775.51, 2,657.62 and 993.12

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Solution

The fourth proportional to 1,775.51, 2,657.62 and 993.12 is: 1,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.51 : 2,657.62 = 993.12 : x
  2. Step 2: Convert to fraction form
    1,775.51/2,657.62 = 993.12/x
  3. Step 3: Cross multiply
    1,775.51x = 2,657.62 × 993.12
  4. Step 4: Simplify right side
    1,775.51x = 2,639,330.61
  5. Step 5: Solve for x
    x = 2,639,330.61/1,775.51
  6. Step 6: Final answer
    x = 1,486.52

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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.