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Finding the Fourth Proportional to 3,146.04, 4,718.88 and 1,503.72

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Solution

The fourth proportional to 3,146.04, 4,718.88 and 1,503.72 is: 2,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.04 : 4,718.88 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    3,146.04/4,718.88 = 1,503.72/x
  3. Step 3: Cross multiply
    3,146.04x = 4,718.88 × 1,503.72
  4. Step 4: Simplify right side
    3,146.04x = 7,095,874.23
  5. Step 5: Solve for x
    x = 7,095,874.23/3,146.04
  6. Step 6: Final answer
    x = 2,255.49

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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.