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Finding the Fourth Proportional to 2,070.34, 2,856.63 and 1,230.64

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Solution

The fourth proportional to 2,070.34, 2,856.63 and 1,230.64 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.34 : 2,856.63 = 1,230.64 : x
  2. Step 2: Convert to fraction form
    2,070.34/2,856.63 = 1,230.64/x
  3. Step 3: Cross multiply
    2,070.34x = 2,856.63 × 1,230.64
  4. Step 4: Simplify right side
    2,070.34x = 3,515,483.14
  5. Step 5: Solve for x
    x = 3,515,483.14/2,070.34
  6. Step 6: Final answer
    x = 1,698.02

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