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Finding the Fourth Proportional to 1,543.80, 2,130.54 and 1,013

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Solution

The fourth proportional to 1,543.80, 2,130.54 and 1,013 is: 1,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.80 : 2,130.54 = 1,013 : x
  2. Step 2: Convert to fraction form
    1,543.80/2,130.54 = 1,013/x
  3. Step 3: Cross multiply
    1,543.80x = 2,130.54 × 1,013
  4. Step 4: Simplify right side
    1,543.80x = 2,158,237.02
  5. Step 5: Solve for x
    x = 2,158,237.02/1,543.80
  6. Step 6: Final answer
    x = 1,398.00

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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.