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Finding the Fourth Proportional to 2,129.51, 2,938.74 and 1,290.04

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Solution

The fourth proportional to 2,129.51, 2,938.74 and 1,290.04 is: 1,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.51 : 2,938.74 = 1,290.04 : x
  2. Step 2: Convert to fraction form
    2,129.51/2,938.74 = 1,290.04/x
  3. Step 3: Cross multiply
    2,129.51x = 2,938.74 × 1,290.04
  4. Step 4: Simplify right side
    2,129.51x = 3,791,092.15
  5. Step 5: Solve for x
    x = 3,791,092.15/2,129.51
  6. Step 6: Final answer
    x = 1,780.27

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