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Finding the Fourth Proportional to 2,368.95, 3,548.43 and 1,543.56

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Solution

The fourth proportional to 2,368.95, 3,548.43 and 1,543.56 is: 2,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.95 : 3,548.43 = 1,543.56 : x
  2. Step 2: Convert to fraction form
    2,368.95/3,548.43 = 1,543.56/x
  3. Step 3: Cross multiply
    2,368.95x = 3,548.43 × 1,543.56
  4. Step 4: Simplify right side
    2,368.95x = 5,477,214.61
  5. Step 5: Solve for x
    x = 5,477,214.61/2,368.95
  6. Step 6: Final answer
    x = 2,312.09

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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.