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Finding the Fourth Proportional to 2,918, 4,374.55 and 1,357.21

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Solution

The fourth proportional to 2,918, 4,374.55 and 1,357.21 is: 2,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918 : 4,374.55 = 1,357.21 : x
  2. Step 2: Convert to fraction form
    2,918/4,374.55 = 1,357.21/x
  3. Step 3: Cross multiply
    2,918x = 4,374.55 × 1,357.21
  4. Step 4: Simplify right side
    2,918x = 5,937,176.22
  5. Step 5: Solve for x
    x = 5,937,176.22/2,918
  6. Step 6: Final answer
    x = 2,034.67

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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.