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Finding the Fourth Proportional to 1,434.84, 1,981.02 and 1,102.68

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Solution

The fourth proportional to 1,434.84, 1,981.02 and 1,102.68 is: 1,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.84 : 1,981.02 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    1,434.84/1,981.02 = 1,102.68/x
  3. Step 3: Cross multiply
    1,434.84x = 1,981.02 × 1,102.68
  4. Step 4: Simplify right side
    1,434.84x = 2,184,431.13
  5. Step 5: Solve for x
    x = 2,184,431.13/1,434.84
  6. Step 6: Final answer
    x = 1,522.42

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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.