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Finding the Fourth Proportional to 1,748.65, 2,620.64 and 651.91

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Solution

The fourth proportional to 1,748.65, 2,620.64 and 651.91 is: 976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.65 : 2,620.64 = 651.91 : x
  2. Step 2: Convert to fraction form
    1,748.65/2,620.64 = 651.91/x
  3. Step 3: Cross multiply
    1,748.65x = 2,620.64 × 651.91
  4. Step 4: Simplify right side
    1,748.65x = 1,708,421.42
  5. Step 5: Solve for x
    x = 1,708,421.42/1,748.65
  6. Step 6: Final answer
    x = 976.99

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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.