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Finding the Fourth Proportional to 2,598.48, 3,903.48 and 2,022.48

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Solution

The fourth proportional to 2,598.48, 3,903.48 and 2,022.48 is: 3,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.48 : 3,903.48 = 2,022.48 : x
  2. Step 2: Convert to fraction form
    2,598.48/3,903.48 = 2,022.48/x
  3. Step 3: Cross multiply
    2,598.48x = 3,903.48 × 2,022.48
  4. Step 4: Simplify right side
    2,598.48x = 7,894,710.23
  5. Step 5: Solve for x
    x = 7,894,710.23/2,598.48
  6. Step 6: Final answer
    x = 3,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.