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Finding the Fourth Proportional to 1,599.79, 2,202.93 and 1,563.40

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Solution

The fourth proportional to 1,599.79, 2,202.93 and 1,563.40 is: 2,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.79 : 2,202.93 = 1,563.40 : x
  2. Step 2: Convert to fraction form
    1,599.79/2,202.93 = 1,563.40/x
  3. Step 3: Cross multiply
    1,599.79x = 2,202.93 × 1,563.40
  4. Step 4: Simplify right side
    1,599.79x = 3,444,060.76
  5. Step 5: Solve for x
    x = 3,444,060.76/1,599.79
  6. Step 6: Final answer
    x = 2,152.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.