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Finding the Fourth Proportional to 1,547.78, 2,135.81 and 884.51

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Solution

The fourth proportional to 1,547.78, 2,135.81 and 884.51 is: 1,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.78 : 2,135.81 = 884.51 : x
  2. Step 2: Convert to fraction form
    1,547.78/2,135.81 = 884.51/x
  3. Step 3: Cross multiply
    1,547.78x = 2,135.81 × 884.51
  4. Step 4: Simplify right side
    1,547.78x = 1,889,145.30
  5. Step 5: Solve for x
    x = 1,889,145.30/1,547.78
  6. Step 6: Final answer
    x = 1,220.55

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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.