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Finding the Fourth Proportional to 3,144.04, 4,715.88 and 1,501.72

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Solution

The fourth proportional to 3,144.04, 4,715.88 and 1,501.72 is: 2,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.04 : 4,715.88 = 1,501.72 : x
  2. Step 2: Convert to fraction form
    3,144.04/4,715.88 = 1,501.72/x
  3. Step 3: Cross multiply
    3,144.04x = 4,715.88 × 1,501.72
  4. Step 4: Simplify right side
    3,144.04x = 7,081,931.31
  5. Step 5: Solve for x
    x = 7,081,931.31/3,144.04
  6. Step 6: Final answer
    x = 2,252.49

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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.