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Finding the Fourth Proportional to 1,543.61, 2,316.33 and 943.03

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Solution

The fourth proportional to 1,543.61, 2,316.33 and 943.03 is: 1,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.61 : 2,316.33 = 943.03 : x
  2. Step 2: Convert to fraction form
    1,543.61/2,316.33 = 943.03/x
  3. Step 3: Cross multiply
    1,543.61x = 2,316.33 × 943.03
  4. Step 4: Simplify right side
    1,543.61x = 2,184,358.55
  5. Step 5: Solve for x
    x = 2,184,358.55/1,543.61
  6. Step 6: Final answer
    x = 1,415.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.