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Finding the Fourth Proportional to 2,148.84, 2,963.70 and 1,403.06

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Solution

The fourth proportional to 2,148.84, 2,963.70 and 1,403.06 is: 1,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 2,963.70 = 1,403.06 : x
  2. Step 2: Convert to fraction form
    2,148.84/2,963.70 = 1,403.06/x
  3. Step 3: Cross multiply
    2,148.84x = 2,963.70 × 1,403.06
  4. Step 4: Simplify right side
    2,148.84x = 4,158,234.10
  5. Step 5: Solve for x
    x = 4,158,234.10/2,148.84
  6. Step 6: Final answer
    x = 1,935.11

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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.