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Finding the Fourth Proportional to 1,547.81, 2,135.99 and 866.45

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Solution

The fourth proportional to 1,547.81, 2,135.99 and 866.45 is: 1,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.81 : 2,135.99 = 866.45 : x
  2. Step 2: Convert to fraction form
    1,547.81/2,135.99 = 866.45/x
  3. Step 3: Cross multiply
    1,547.81x = 2,135.99 × 866.45
  4. Step 4: Simplify right side
    1,547.81x = 1,850,728.54
  5. Step 5: Solve for x
    x = 1,850,728.54/1,547.81
  6. Step 6: Final answer
    x = 1,195.71

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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.