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Finding the Fourth Proportional to 2,967.72, 4,455.63 and 1,507.91

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Solution

The fourth proportional to 2,967.72, 4,455.63 and 1,507.91 is: 2,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.72 : 4,455.63 = 1,507.91 : x
  2. Step 2: Convert to fraction form
    2,967.72/4,455.63 = 1,507.91/x
  3. Step 3: Cross multiply
    2,967.72x = 4,455.63 × 1,507.91
  4. Step 4: Simplify right side
    2,967.72x = 6,718,666.76
  5. Step 5: Solve for x
    x = 6,718,666.76/2,967.72
  6. Step 6: Final answer
    x = 2,263.92

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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.