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Finding the Fourth Proportional to 1,402.59, 2,102.09 and 671.07

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Solution

The fourth proportional to 1,402.59, 2,102.09 and 671.07 is: 1,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.59 : 2,102.09 = 671.07 : x
  2. Step 2: Convert to fraction form
    1,402.59/2,102.09 = 671.07/x
  3. Step 3: Cross multiply
    1,402.59x = 2,102.09 × 671.07
  4. Step 4: Simplify right side
    1,402.59x = 1,410,646.18
  5. Step 5: Solve for x
    x = 1,410,646.18/1,402.59
  6. Step 6: Final answer
    x = 1,005.74

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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.