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Finding the Fourth Proportional to 1,738.88, 2,595.70 and 1,610.40

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Solution

The fourth proportional to 1,738.88, 2,595.70 and 1,610.40 is: 2,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.88 : 2,595.70 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    1,738.88/2,595.70 = 1,610.40/x
  3. Step 3: Cross multiply
    1,738.88x = 2,595.70 × 1,610.40
  4. Step 4: Simplify right side
    1,738.88x = 4,180,103.37
  5. Step 5: Solve for x
    x = 4,180,103.37/1,738.88
  6. Step 6: Final answer
    x = 2,403.90

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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.