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Finding the Fourth Proportional to 1,735.02, 2,602.53 and 1,542.78

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Solution

The fourth proportional to 1,735.02, 2,602.53 and 1,542.78 is: 2,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.02 : 2,602.53 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    1,735.02/2,602.53 = 1,542.78/x
  3. Step 3: Cross multiply
    1,735.02x = 2,602.53 × 1,542.78
  4. Step 4: Simplify right side
    1,735.02x = 4,015,131.23
  5. Step 5: Solve for x
    x = 4,015,131.23/1,735.02
  6. Step 6: Final answer
    x = 2,314.17

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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.