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Finding the Fourth Proportional to 1,513.87, 2,089.56 and 884.53

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Solution

The fourth proportional to 1,513.87, 2,089.56 and 884.53 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.87 : 2,089.56 = 884.53 : x
  2. Step 2: Convert to fraction form
    1,513.87/2,089.56 = 884.53/x
  3. Step 3: Cross multiply
    1,513.87x = 2,089.56 × 884.53
  4. Step 4: Simplify right side
    1,513.87x = 1,848,278.51
  5. Step 5: Solve for x
    x = 1,848,278.51/1,513.87
  6. Step 6: Final answer
    x = 1,220.90

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1.5x scale

Why These Related Problems?

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