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Finding the Fourth Proportional to 1,835.40, 2,751.30 and 1,616.70

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Solution

The fourth proportional to 1,835.40, 2,751.30 and 1,616.70 is: 2,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.40 : 2,751.30 = 1,616.70 : x
  2. Step 2: Convert to fraction form
    1,835.40/2,751.30 = 1,616.70/x
  3. Step 3: Cross multiply
    1,835.40x = 2,751.30 × 1,616.70
  4. Step 4: Simplify right side
    1,835.40x = 4,448,026.71
  5. Step 5: Solve for x
    x = 4,448,026.71/1,835.40
  6. Step 6: Final answer
    x = 2,423.46

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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.