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Finding the Fourth Proportional to 4,585.70, 6,881.29 and 1,664.24

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Solution

The fourth proportional to 4,585.70, 6,881.29 and 1,664.24 is: 2,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.70 : 6,881.29 = 1,664.24 : x
  2. Step 2: Convert to fraction form
    4,585.70/6,881.29 = 1,664.24/x
  3. Step 3: Cross multiply
    4,585.70x = 6,881.29 × 1,664.24
  4. Step 4: Simplify right side
    4,585.70x = 11,452,079.50
  5. Step 5: Solve for x
    x = 11,452,079.50/4,585.70
  6. Step 6: Final answer
    x = 2,497.34

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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.