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Finding the Fourth Proportional to 4,660, 6,990.40 and 1,582.08

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Solution

The fourth proportional to 4,660, 6,990.40 and 1,582.08 is: 2,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660 : 6,990.40 = 1,582.08 : x
  2. Step 2: Convert to fraction form
    4,660/6,990.40 = 1,582.08/x
  3. Step 3: Cross multiply
    4,660x = 6,990.40 × 1,582.08
  4. Step 4: Simplify right side
    4,660x = 11,059,372.03
  5. Step 5: Solve for x
    x = 11,059,372.03/4,660
  6. Step 6: Final answer
    x = 2,373.26

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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.