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Finding the Fourth Proportional to 2,123.90, 2,931.22 and 2,055.86

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Solution

The fourth proportional to 2,123.90, 2,931.22 and 2,055.86 is: 2,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 2,931.22 = 2,055.86 : x
  2. Step 2: Convert to fraction form
    2,123.90/2,931.22 = 2,055.86/x
  3. Step 3: Cross multiply
    2,123.90x = 2,931.22 × 2,055.86
  4. Step 4: Simplify right side
    2,123.90x = 6,026,177.95
  5. Step 5: Solve for x
    x = 6,026,177.95/2,123.90
  6. Step 6: Final answer
    x = 2,837.32

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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.