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Finding the Fourth Proportional to 1,651.52, 2,278.86 and 1,030.52

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Solution

The fourth proportional to 1,651.52, 2,278.86 and 1,030.52 is: 1,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.52 : 2,278.86 = 1,030.52 : x
  2. Step 2: Convert to fraction form
    1,651.52/2,278.86 = 1,030.52/x
  3. Step 3: Cross multiply
    1,651.52x = 2,278.86 × 1,030.52
  4. Step 4: Simplify right side
    1,651.52x = 2,348,410.81
  5. Step 5: Solve for x
    x = 2,348,410.81/1,651.52
  6. Step 6: Final answer
    x = 1,421.97

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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.