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Finding the Fourth Proportional to 3,107.55, 4,661.67 and 1,547.96

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Solution

The fourth proportional to 3,107.55, 4,661.67 and 1,547.96 is: 2,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.55 : 4,661.67 = 1,547.96 : x
  2. Step 2: Convert to fraction form
    3,107.55/4,661.67 = 1,547.96/x
  3. Step 3: Cross multiply
    3,107.55x = 4,661.67 × 1,547.96
  4. Step 4: Simplify right side
    3,107.55x = 7,216,055.38
  5. Step 5: Solve for x
    x = 7,216,055.38/3,107.55
  6. Step 6: Final answer
    x = 2,322.10

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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.