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Finding the Fourth Proportional to 1,595.78, 2,197.55 and 1,301.75

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Solution

The fourth proportional to 1,595.78, 2,197.55 and 1,301.75 is: 1,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.78 : 2,197.55 = 1,301.75 : x
  2. Step 2: Convert to fraction form
    1,595.78/2,197.55 = 1,301.75/x
  3. Step 3: Cross multiply
    1,595.78x = 2,197.55 × 1,301.75
  4. Step 4: Simplify right side
    1,595.78x = 2,860,660.71
  5. Step 5: Solve for x
    x = 2,860,660.71/1,595.78
  6. Step 6: Final answer
    x = 1,792.64

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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.