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Finding the Fourth Proportional to 2,130.66, 3,196.17 and 570.90

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Solution

The fourth proportional to 2,130.66, 3,196.17 and 570.90 is: 856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.66 : 3,196.17 = 570.90 : x
  2. Step 2: Convert to fraction form
    2,130.66/3,196.17 = 570.90/x
  3. Step 3: Cross multiply
    2,130.66x = 3,196.17 × 570.90
  4. Step 4: Simplify right side
    2,130.66x = 1,824,693.45
  5. Step 5: Solve for x
    x = 1,824,693.45/2,130.66
  6. Step 6: Final answer
    x = 856.40

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