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Finding the Fourth Proportional to 2,547.93, 3,515.85 and 1,428.87

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Solution

The fourth proportional to 2,547.93, 3,515.85 and 1,428.87 is: 1,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.93 : 3,515.85 = 1,428.87 : x
  2. Step 2: Convert to fraction form
    2,547.93/3,515.85 = 1,428.87/x
  3. Step 3: Cross multiply
    2,547.93x = 3,515.85 × 1,428.87
  4. Step 4: Simplify right side
    2,547.93x = 5,023,692.59
  5. Step 5: Solve for x
    x = 5,023,692.59/2,547.93
  6. Step 6: Final answer
    x = 1,971.68

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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.