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Finding the Fourth Proportional to 3,145.46, 4,714.95 and 1,415.30

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Solution

The fourth proportional to 3,145.46, 4,714.95 and 1,415.30 is: 2,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.46 : 4,714.95 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    3,145.46/4,714.95 = 1,415.30/x
  3. Step 3: Cross multiply
    3,145.46x = 4,714.95 × 1,415.30
  4. Step 4: Simplify right side
    3,145.46x = 6,673,068.74
  5. Step 5: Solve for x
    x = 6,673,068.74/3,145.46
  6. Step 6: Final answer
    x = 2,121.49

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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.