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Finding the Fourth Proportional to 1,948.16, 2,689.07 and 1,848.98

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Solution

The fourth proportional to 1,948.16, 2,689.07 and 1,848.98 is: 2,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.16 : 2,689.07 = 1,848.98 : x
  2. Step 2: Convert to fraction form
    1,948.16/2,689.07 = 1,848.98/x
  3. Step 3: Cross multiply
    1,948.16x = 2,689.07 × 1,848.98
  4. Step 4: Simplify right side
    1,948.16x = 4,972,013.96
  5. Step 5: Solve for x
    x = 4,972,013.96/1,948.16
  6. Step 6: Final answer
    x = 2,552.17

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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.