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Finding the Fourth Proportional to 3,160.58, 4,740.91 and 969.32

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Solution

The fourth proportional to 3,160.58, 4,740.91 and 969.32 is: 1,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.58 : 4,740.91 = 969.32 : x
  2. Step 2: Convert to fraction form
    3,160.58/4,740.91 = 969.32/x
  3. Step 3: Cross multiply
    3,160.58x = 4,740.91 × 969.32
  4. Step 4: Simplify right side
    3,160.58x = 4,595,468.31
  5. Step 5: Solve for x
    x = 4,595,468.31/3,160.58
  6. Step 6: Final answer
    x = 1,454.00

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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.