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Finding the Fourth Proportional to 3,607.80, 5,411.70 and 1,663.80

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Solution

The fourth proportional to 3,607.80, 5,411.70 and 1,663.80 is: 2,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.80 : 5,411.70 = 1,663.80 : x
  2. Step 2: Convert to fraction form
    3,607.80/5,411.70 = 1,663.80/x
  3. Step 3: Cross multiply
    3,607.80x = 5,411.70 × 1,663.80
  4. Step 4: Simplify right side
    3,607.80x = 9,003,986.46
  5. Step 5: Solve for x
    x = 9,003,986.46/3,607.80
  6. Step 6: Final answer
    x = 2,495.70

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1.5x scale

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.