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Finding the Fourth Proportional to 1,882.96, 2,598.50 and 1,097.08

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Solution

The fourth proportional to 1,882.96, 2,598.50 and 1,097.08 is: 1,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.96 : 2,598.50 = 1,097.08 : x
  2. Step 2: Convert to fraction form
    1,882.96/2,598.50 = 1,097.08/x
  3. Step 3: Cross multiply
    1,882.96x = 2,598.50 × 1,097.08
  4. Step 4: Simplify right side
    1,882.96x = 2,850,762.38
  5. Step 5: Solve for x
    x = 2,850,762.38/1,882.96
  6. Step 6: Final answer
    x = 1,513.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.