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Finding the Fourth Proportional to 1,970.29, 2,953.54 and 800.02

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Solution

The fourth proportional to 1,970.29, 2,953.54 and 800.02 is: 1,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.29 : 2,953.54 = 800.02 : x
  2. Step 2: Convert to fraction form
    1,970.29/2,953.54 = 800.02/x
  3. Step 3: Cross multiply
    1,970.29x = 2,953.54 × 800.02
  4. Step 4: Simplify right side
    1,970.29x = 2,362,872.30
  5. Step 5: Solve for x
    x = 2,362,872.30/1,970.29
  6. Step 6: Final answer
    x = 1,199.25

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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.