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Finding the Fourth Proportional to 2,101.84, 2,900.61 and 1,394.91

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Solution

The fourth proportional to 2,101.84, 2,900.61 and 1,394.91 is: 1,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 2,900.61 = 1,394.91 : x
  2. Step 2: Convert to fraction form
    2,101.84/2,900.61 = 1,394.91/x
  3. Step 3: Cross multiply
    2,101.84x = 2,900.61 × 1,394.91
  4. Step 4: Simplify right side
    2,101.84x = 4,046,089.90
  5. Step 5: Solve for x
    x = 4,046,089.90/2,101.84
  6. Step 6: Final answer
    x = 1,925.03

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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.