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Finding the Fourth Proportional to 2,083.62, 2,875.47 and 1,420.77

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Solution

The fourth proportional to 2,083.62, 2,875.47 and 1,420.77 is: 1,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.62 : 2,875.47 = 1,420.77 : x
  2. Step 2: Convert to fraction form
    2,083.62/2,875.47 = 1,420.77/x
  3. Step 3: Cross multiply
    2,083.62x = 2,875.47 × 1,420.77
  4. Step 4: Simplify right side
    2,083.62x = 4,085,381.51
  5. Step 5: Solve for x
    x = 4,085,381.51/2,083.62
  6. Step 6: Final answer
    x = 1,960.71

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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.