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Finding the Fourth Proportional to 1,848.64, 2,774.04 and 694.40

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Solution

The fourth proportional to 1,848.64, 2,774.04 and 694.40 is: 1,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.64 : 2,774.04 = 694.40 : x
  2. Step 2: Convert to fraction form
    1,848.64/2,774.04 = 694.40/x
  3. Step 3: Cross multiply
    1,848.64x = 2,774.04 × 694.40
  4. Step 4: Simplify right side
    1,848.64x = 1,926,293.38
  5. Step 5: Solve for x
    x = 1,926,293.38/1,848.64
  6. Step 6: Final answer
    x = 1,042.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.