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Finding the Fourth Proportional to 2,547.56, 3,515.77 and 1,428.41

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Solution

The fourth proportional to 2,547.56, 3,515.77 and 1,428.41 is: 1,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.56 : 3,515.77 = 1,428.41 : x
  2. Step 2: Convert to fraction form
    2,547.56/3,515.77 = 1,428.41/x
  3. Step 3: Cross multiply
    2,547.56x = 3,515.77 × 1,428.41
  4. Step 4: Simplify right side
    2,547.56x = 5,021,950.82
  5. Step 5: Solve for x
    x = 5,021,950.82/2,547.56
  6. Step 6: Final answer
    x = 1,971.28

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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.