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Finding the Fourth Proportional to 1,563.62, 2,345.31 and 651.62

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Solution

The fourth proportional to 1,563.62, 2,345.31 and 651.62 is: 977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.62 : 2,345.31 = 651.62 : x
  2. Step 2: Convert to fraction form
    1,563.62/2,345.31 = 651.62/x
  3. Step 3: Cross multiply
    1,563.62x = 2,345.31 × 651.62
  4. Step 4: Simplify right side
    1,563.62x = 1,528,250.90
  5. Step 5: Solve for x
    x = 1,528,250.90/1,563.62
  6. Step 6: Final answer
    x = 977.38

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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.