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Finding the Fourth Proportional to 2,026.67, 3,038.63 and 856.39

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Solution

The fourth proportional to 2,026.67, 3,038.63 and 856.39 is: 1,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.67 : 3,038.63 = 856.39 : x
  2. Step 2: Convert to fraction form
    2,026.67/3,038.63 = 856.39/x
  3. Step 3: Cross multiply
    2,026.67x = 3,038.63 × 856.39
  4. Step 4: Simplify right side
    2,026.67x = 2,602,252.35
  5. Step 5: Solve for x
    x = 2,602,252.35/2,026.67
  6. Step 6: Final answer
    x = 1,284.01

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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.