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Finding the Fourth Proportional to 1,974.63, 2,725.32 and 1,501.77

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Solution

The fourth proportional to 1,974.63, 2,725.32 and 1,501.77 is: 2,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.63 : 2,725.32 = 1,501.77 : x
  2. Step 2: Convert to fraction form
    1,974.63/2,725.32 = 1,501.77/x
  3. Step 3: Cross multiply
    1,974.63x = 2,725.32 × 1,501.77
  4. Step 4: Simplify right side
    1,974.63x = 4,092,792.45
  5. Step 5: Solve for x
    x = 4,092,792.45/1,974.63
  6. Step 6: Final answer
    x = 2,072.69

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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.