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Finding the Fourth Proportional to 1,664.90, 2,494.65 and 1,567.70

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Solution

The fourth proportional to 1,664.90, 2,494.65 and 1,567.70 is: 2,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.90 : 2,494.65 = 1,567.70 : x
  2. Step 2: Convert to fraction form
    1,664.90/2,494.65 = 1,567.70/x
  3. Step 3: Cross multiply
    1,664.90x = 2,494.65 × 1,567.70
  4. Step 4: Simplify right side
    1,664.90x = 3,910,862.81
  5. Step 5: Solve for x
    x = 3,910,862.81/1,664.90
  6. Step 6: Final answer
    x = 2,349.01

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Why These Related Problems?

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