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Finding the Fourth Proportional to 1,543.42, 2,129.93 and 880.48

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Solution

The fourth proportional to 1,543.42, 2,129.93 and 880.48 is: 1,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.42 : 2,129.93 = 880.48 : x
  2. Step 2: Convert to fraction form
    1,543.42/2,129.93 = 880.48/x
  3. Step 3: Cross multiply
    1,543.42x = 2,129.93 × 880.48
  4. Step 4: Simplify right side
    1,543.42x = 1,875,362.33
  5. Step 5: Solve for x
    x = 1,875,362.33/1,543.42
  6. Step 6: Final answer
    x = 1,215.07

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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.