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Finding the Fourth Proportional to 1,543.03, 2,129.54 and 913.76

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Solution

The fourth proportional to 1,543.03, 2,129.54 and 913.76 is: 1,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.03 : 2,129.54 = 913.76 : x
  2. Step 2: Convert to fraction form
    1,543.03/2,129.54 = 913.76/x
  3. Step 3: Cross multiply
    1,543.03x = 2,129.54 × 913.76
  4. Step 4: Simplify right side
    1,543.03x = 1,945,888.47
  5. Step 5: Solve for x
    x = 1,945,888.47/1,543.03
  6. Step 6: Final answer
    x = 1,261.08

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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.