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Finding the Fourth Proportional to 1,646.36, 2,487.53 and 1,630.52

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Solution

The fourth proportional to 1,646.36, 2,487.53 and 1,630.52 is: 2,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.36 : 2,487.53 = 1,630.52 : x
  2. Step 2: Convert to fraction form
    1,646.36/2,487.53 = 1,630.52/x
  3. Step 3: Cross multiply
    1,646.36x = 2,487.53 × 1,630.52
  4. Step 4: Simplify right side
    1,646.36x = 4,055,967.42
  5. Step 5: Solve for x
    x = 4,055,967.42/1,646.36
  6. Step 6: Final answer
    x = 2,463.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.