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Finding the Fourth Proportional to 2,384.94, 3,291.51 and 1,500.78

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Solution

The fourth proportional to 2,384.94, 3,291.51 and 1,500.78 is: 2,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.94 : 3,291.51 = 1,500.78 : x
  2. Step 2: Convert to fraction form
    2,384.94/3,291.51 = 1,500.78/x
  3. Step 3: Cross multiply
    2,384.94x = 3,291.51 × 1,500.78
  4. Step 4: Simplify right side
    2,384.94x = 4,939,832.38
  5. Step 5: Solve for x
    x = 4,939,832.38/2,384.94
  6. Step 6: Final answer
    x = 2,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.