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Finding the Fourth Proportional to 2,860.93, 4,291.35 and 913.12

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Solution

The fourth proportional to 2,860.93, 4,291.35 and 913.12 is: 1,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.93 : 4,291.35 = 913.12 : x
  2. Step 2: Convert to fraction form
    2,860.93/4,291.35 = 913.12/x
  3. Step 3: Cross multiply
    2,860.93x = 4,291.35 × 913.12
  4. Step 4: Simplify right side
    2,860.93x = 3,918,517.51
  5. Step 5: Solve for x
    x = 3,918,517.51/2,860.93
  6. Step 6: Final answer
    x = 1,369.67

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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.