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Finding the Fourth Proportional to 2,904.18, 4,006.98 and 1,784.88

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Solution

The fourth proportional to 2,904.18, 4,006.98 and 1,784.88 is: 2,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.18 : 4,006.98 = 1,784.88 : x
  2. Step 2: Convert to fraction form
    2,904.18/4,006.98 = 1,784.88/x
  3. Step 3: Cross multiply
    2,904.18x = 4,006.98 × 1,784.88
  4. Step 4: Simplify right side
    2,904.18x = 7,151,978.46
  5. Step 5: Solve for x
    x = 7,151,978.46/2,904.18
  6. Step 6: Final answer
    x = 2,462.65

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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.