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Finding the Fourth Proportional to 2,476.98, 3,707.90 and 2,127.06

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Solution

The fourth proportional to 2,476.98, 3,707.90 and 2,127.06 is: 3,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.98 : 3,707.90 = 2,127.06 : x
  2. Step 2: Convert to fraction form
    2,476.98/3,707.90 = 2,127.06/x
  3. Step 3: Cross multiply
    2,476.98x = 3,707.90 × 2,127.06
  4. Step 4: Simplify right side
    2,476.98x = 7,886,925.77
  5. Step 5: Solve for x
    x = 7,886,925.77/2,476.98
  6. Step 6: Final answer
    x = 3,184.09

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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.