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Finding the Fourth Proportional to 2,045.84, 3,068.36 and 935.01

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Solution

The fourth proportional to 2,045.84, 3,068.36 and 935.01 is: 1,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.84 : 3,068.36 = 935.01 : x
  2. Step 2: Convert to fraction form
    2,045.84/3,068.36 = 935.01/x
  3. Step 3: Cross multiply
    2,045.84x = 3,068.36 × 935.01
  4. Step 4: Simplify right side
    2,045.84x = 2,868,942.61
  5. Step 5: Solve for x
    x = 2,868,942.61/2,045.84
  6. Step 6: Final answer
    x = 1,402.33

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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.