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Finding the Fourth Proportional to 2,443.64, 3,667.58 and 2,057.87

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Solution

The fourth proportional to 2,443.64, 3,667.58 and 2,057.87 is: 3,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.64 : 3,667.58 = 2,057.87 : x
  2. Step 2: Convert to fraction form
    2,443.64/3,667.58 = 2,057.87/x
  3. Step 3: Cross multiply
    2,443.64x = 3,667.58 × 2,057.87
  4. Step 4: Simplify right side
    2,443.64x = 7,547,409.45
  5. Step 5: Solve for x
    x = 7,547,409.45/2,443.64
  6. Step 6: Final answer
    x = 3,088.60

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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.