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Finding the Fourth Proportional to 2,547.83, 3,515.84 and 1,428.76

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Solution

The fourth proportional to 2,547.83, 3,515.84 and 1,428.76 is: 1,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.83 : 3,515.84 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    2,547.83/3,515.84 = 1,428.76/x
  3. Step 3: Cross multiply
    2,547.83x = 3,515.84 × 1,428.76
  4. Step 4: Simplify right side
    2,547.83x = 5,023,291.56
  5. Step 5: Solve for x
    x = 5,023,291.56/2,547.83
  6. Step 6: Final answer
    x = 1,971.60

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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.