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Finding the Fourth Proportional to 2,117.77, 2,916.00 and 1,881.31

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Solution

The fourth proportional to 2,117.77, 2,916.00 and 1,881.31 is: 2,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.77 : 2,916.00 = 1,881.31 : x
  2. Step 2: Convert to fraction form
    2,117.77/2,916.00 = 1,881.31/x
  3. Step 3: Cross multiply
    2,117.77x = 2,916.00 × 1,881.31
  4. Step 4: Simplify right side
    2,117.77x = 5,485,903.37
  5. Step 5: Solve for x
    x = 5,485,903.37/2,117.77
  6. Step 6: Final answer
    x = 2,590.41

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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.