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Finding the Fourth Proportional to 3,064.59, 4,595.43 and 2,141.19

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Solution

The fourth proportional to 3,064.59, 4,595.43 and 2,141.19 is: 3,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.59 : 4,595.43 = 2,141.19 : x
  2. Step 2: Convert to fraction form
    3,064.59/4,595.43 = 2,141.19/x
  3. Step 3: Cross multiply
    3,064.59x = 4,595.43 × 2,141.19
  4. Step 4: Simplify right side
    3,064.59x = 9,839,688.76
  5. Step 5: Solve for x
    x = 9,839,688.76/3,064.59
  6. Step 6: Final answer
    x = 3,210.77

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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.