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Finding the Fourth Proportional to 2,964.71, 4,443.87 and 1,503.98

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Solution

The fourth proportional to 2,964.71, 4,443.87 and 1,503.98 is: 2,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.71 : 4,443.87 = 1,503.98 : x
  2. Step 2: Convert to fraction form
    2,964.71/4,443.87 = 1,503.98/x
  3. Step 3: Cross multiply
    2,964.71x = 4,443.87 × 1,503.98
  4. Step 4: Simplify right side
    2,964.71x = 6,683,491.60
  5. Step 5: Solve for x
    x = 6,683,491.60/2,964.71
  6. Step 6: Final answer
    x = 2,254.35

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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.