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Finding the Fourth Proportional to 1,473.34, 2,210.12 and 856.87

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Solution

The fourth proportional to 1,473.34, 2,210.12 and 856.87 is: 1,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.34 : 2,210.12 = 856.87 : x
  2. Step 2: Convert to fraction form
    1,473.34/2,210.12 = 856.87/x
  3. Step 3: Cross multiply
    1,473.34x = 2,210.12 × 856.87
  4. Step 4: Simplify right side
    1,473.34x = 1,893,785.52
  5. Step 5: Solve for x
    x = 1,893,785.52/1,473.34
  6. Step 6: Final answer
    x = 1,285.37

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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.