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Finding the Fourth Proportional to 2,070.32, 2,856.03 and 1,230.43

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Solution

The fourth proportional to 2,070.32, 2,856.03 and 1,230.43 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.32 : 2,856.03 = 1,230.43 : x
  2. Step 2: Convert to fraction form
    2,070.32/2,856.03 = 1,230.43/x
  3. Step 3: Cross multiply
    2,070.32x = 2,856.03 × 1,230.43
  4. Step 4: Simplify right side
    2,070.32x = 3,514,130.71
  5. Step 5: Solve for x
    x = 3,514,130.71/2,070.32
  6. Step 6: Final answer
    x = 1,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.