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Finding the Fourth Proportional to 2,383.08, 3,574.51 and 651.71

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Solution

The fourth proportional to 2,383.08, 3,574.51 and 651.71 is: 977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.08 : 3,574.51 = 651.71 : x
  2. Step 2: Convert to fraction form
    2,383.08/3,574.51 = 651.71/x
  3. Step 3: Cross multiply
    2,383.08x = 3,574.51 × 651.71
  4. Step 4: Simplify right side
    2,383.08x = 2,329,543.91
  5. Step 5: Solve for x
    x = 2,329,543.91/2,383.08
  6. Step 6: Final answer
    x = 977.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.