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Finding the Fourth Proportional to 2,289.13, 3,159.51 and 1,895.47

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Solution

The fourth proportional to 2,289.13, 3,159.51 and 1,895.47 is: 2,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.13 : 3,159.51 = 1,895.47 : x
  2. Step 2: Convert to fraction form
    2,289.13/3,159.51 = 1,895.47/x
  3. Step 3: Cross multiply
    2,289.13x = 3,159.51 × 1,895.47
  4. Step 4: Simplify right side
    2,289.13x = 5,988,741.41
  5. Step 5: Solve for x
    x = 5,988,741.41/2,289.13
  6. Step 6: Final answer
    x = 2,616.17

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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.