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Finding the Fourth Proportional to 2,476.86, 3,417.84 and 1,428.72

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Solution

The fourth proportional to 2,476.86, 3,417.84 and 1,428.72 is: 1,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.86 : 3,417.84 = 1,428.72 : x
  2. Step 2: Convert to fraction form
    2,476.86/3,417.84 = 1,428.72/x
  3. Step 3: Cross multiply
    2,476.86x = 3,417.84 × 1,428.72
  4. Step 4: Simplify right side
    2,476.86x = 4,883,136.36
  5. Step 5: Solve for x
    x = 4,883,136.36/2,476.86
  6. Step 6: Final answer
    x = 1,971.50

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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.