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Finding the Fourth Proportional to 2,856.66, 4,280.67 and 2,036.67

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Solution

The fourth proportional to 2,856.66, 4,280.67 and 2,036.67 is: 3,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.66 : 4,280.67 = 2,036.67 : x
  2. Step 2: Convert to fraction form
    2,856.66/4,280.67 = 2,036.67/x
  3. Step 3: Cross multiply
    2,856.66x = 4,280.67 × 2,036.67
  4. Step 4: Simplify right side
    2,856.66x = 8,718,312.17
  5. Step 5: Solve for x
    x = 8,718,312.17/2,856.66
  6. Step 6: Final answer
    x = 3,051.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.