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Finding the Fourth Proportional to 1,600.98, 2,385.78 and 1,548.78

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Solution

The fourth proportional to 1,600.98, 2,385.78 and 1,548.78 is: 2,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.98 : 2,385.78 = 1,548.78 : x
  2. Step 2: Convert to fraction form
    1,600.98/2,385.78 = 1,548.78/x
  3. Step 3: Cross multiply
    1,600.98x = 2,385.78 × 1,548.78
  4. Step 4: Simplify right side
    1,600.98x = 3,695,048.35
  5. Step 5: Solve for x
    x = 3,695,048.35/1,600.98
  6. Step 6: Final answer
    x = 2,307.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.