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Finding the Fourth Proportional to 2,853.76, 4,280.40 and 1,210

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Solution

The fourth proportional to 2,853.76, 4,280.40 and 1,210 is: 1,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.76 : 4,280.40 = 1,210 : x
  2. Step 2: Convert to fraction form
    2,853.76/4,280.40 = 1,210/x
  3. Step 3: Cross multiply
    2,853.76x = 4,280.40 × 1,210
  4. Step 4: Simplify right side
    2,853.76x = 5,179,284
  5. Step 5: Solve for x
    x = 5,179,284/2,853.76
  6. Step 6: Final answer
    x = 1,814.90

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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.