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Finding the Fourth Proportional to 2,287.00, 3,154.91 and 1,530.81

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Solution

The fourth proportional to 2,287.00, 3,154.91 and 1,530.81 is: 2,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.00 : 3,154.91 = 1,530.81 : x
  2. Step 2: Convert to fraction form
    2,287.00/3,154.91 = 1,530.81/x
  3. Step 3: Cross multiply
    2,287.00x = 3,154.91 × 1,530.81
  4. Step 4: Simplify right side
    2,287.00x = 4,829,569.00
  5. Step 5: Solve for x
    x = 4,829,569.00/2,287.00
  6. Step 6: Final answer
    x = 2,111.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.