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Finding the Fourth Proportional to 1,547.76, 2,309.73 and 1,383.73

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Solution

The fourth proportional to 1,547.76, 2,309.73 and 1,383.73 is: 2,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.76 : 2,309.73 = 1,383.73 : x
  2. Step 2: Convert to fraction form
    1,547.76/2,309.73 = 1,383.73/x
  3. Step 3: Cross multiply
    1,547.76x = 2,309.73 × 1,383.73
  4. Step 4: Simplify right side
    1,547.76x = 3,196,042.69
  5. Step 5: Solve for x
    x = 3,196,042.69/1,547.76
  6. Step 6: Final answer
    x = 2,064.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.