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Finding the Fourth Proportional to 2,902.13, 4,347.02 and 1,419.07

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Solution

The fourth proportional to 2,902.13, 4,347.02 and 1,419.07 is: 2,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.13 : 4,347.02 = 1,419.07 : x
  2. Step 2: Convert to fraction form
    2,902.13/4,347.02 = 1,419.07/x
  3. Step 3: Cross multiply
    2,902.13x = 4,347.02 × 1,419.07
  4. Step 4: Simplify right side
    2,902.13x = 6,168,725.67
  5. Step 5: Solve for x
    x = 6,168,725.67/2,902.13
  6. Step 6: Final answer
    x = 2,125.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.