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Finding the Fourth Proportional to 2,926.62, 4,384.12 and 1,537.86

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Solution

The fourth proportional to 2,926.62, 4,384.12 and 1,537.86 is: 2,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.62 : 4,384.12 = 1,537.86 : x
  2. Step 2: Convert to fraction form
    2,926.62/4,384.12 = 1,537.86/x
  3. Step 3: Cross multiply
    2,926.62x = 4,384.12 × 1,537.86
  4. Step 4: Simplify right side
    2,926.62x = 6,742,162.78
  5. Step 5: Solve for x
    x = 6,742,162.78/2,926.62
  6. Step 6: Final answer
    x = 2,303.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.