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Finding the Fourth Proportional to 2,045.91, 2,825.02 and 1,667.86

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Solution

The fourth proportional to 2,045.91, 2,825.02 and 1,667.86 is: 2,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.91 : 2,825.02 = 1,667.86 : x
  2. Step 2: Convert to fraction form
    2,045.91/2,825.02 = 1,667.86/x
  3. Step 3: Cross multiply
    2,045.91x = 2,825.02 × 1,667.86
  4. Step 4: Simplify right side
    2,045.91x = 4,711,737.86
  5. Step 5: Solve for x
    x = 4,711,737.86/2,045.91
  6. Step 6: Final answer
    x = 2,303.00

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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.