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Finding the Fourth Proportional to 2,547.99, 3,516.12 and 1,428.93

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Solution

The fourth proportional to 2,547.99, 3,516.12 and 1,428.93 is: 1,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.99 : 3,516.12 = 1,428.93 : x
  2. Step 2: Convert to fraction form
    2,547.99/3,516.12 = 1,428.93/x
  3. Step 3: Cross multiply
    2,547.99x = 3,516.12 × 1,428.93
  4. Step 4: Simplify right side
    2,547.99x = 5,024,289.35
  5. Step 5: Solve for x
    x = 5,024,289.35/2,547.99
  6. Step 6: Final answer
    x = 1,971.86

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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.