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Finding the Fourth Proportional to 2,123.55, 2,928.49 and 1,404.47

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Solution

The fourth proportional to 2,123.55, 2,928.49 and 1,404.47 is: 1,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.55 : 2,928.49 = 1,404.47 : x
  2. Step 2: Convert to fraction form
    2,123.55/2,928.49 = 1,404.47/x
  3. Step 3: Cross multiply
    2,123.55x = 2,928.49 × 1,404.47
  4. Step 4: Simplify right side
    2,123.55x = 4,112,980.16
  5. Step 5: Solve for x
    x = 4,112,980.16/2,123.55
  6. Step 6: Final answer
    x = 1,936.84

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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.