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Finding the Fourth Proportional to 2,135.77, 2,945.51 and 1,389.46

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Solution

The fourth proportional to 2,135.77, 2,945.51 and 1,389.46 is: 1,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.77 : 2,945.51 = 1,389.46 : x
  2. Step 2: Convert to fraction form
    2,135.77/2,945.51 = 1,389.46/x
  3. Step 3: Cross multiply
    2,135.77x = 2,945.51 × 1,389.46
  4. Step 4: Simplify right side
    2,135.77x = 4,092,668.32
  5. Step 5: Solve for x
    x = 4,092,668.32/2,135.77
  6. Step 6: Final answer
    x = 1,916.25

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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.