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Finding the Fourth Proportional to 1,566.51, 2,164.64 and 1,490.60

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Solution

The fourth proportional to 1,566.51, 2,164.64 and 1,490.60 is: 2,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.51 : 2,164.64 = 1,490.60 : x
  2. Step 2: Convert to fraction form
    1,566.51/2,164.64 = 1,490.60/x
  3. Step 3: Cross multiply
    1,566.51x = 2,164.64 × 1,490.60
  4. Step 4: Simplify right side
    1,566.51x = 3,226,612.38
  5. Step 5: Solve for x
    x = 3,226,612.38/1,566.51
  6. Step 6: Final answer
    x = 2,059.75

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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.