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Finding the Fourth Proportional to 1,566.14, 2,164.12 and 1,490.22

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Solution

The fourth proportional to 1,566.14, 2,164.12 and 1,490.22 is: 2,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,164.12 = 1,490.22 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,164.12 = 1,490.22/x
  3. Step 3: Cross multiply
    1,566.14x = 2,164.12 × 1,490.22
  4. Step 4: Simplify right side
    1,566.14x = 3,225,011.18
  5. Step 5: Solve for x
    x = 3,225,011.18/1,566.14
  6. Step 6: Final answer
    x = 2,059.22

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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.