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Finding the Fourth Proportional to 1,833.99, 2,530.71 and 1,048.02

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Solution

The fourth proportional to 1,833.99, 2,530.71 and 1,048.02 is: 1,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.99 : 2,530.71 = 1,048.02 : x
  2. Step 2: Convert to fraction form
    1,833.99/2,530.71 = 1,048.02/x
  3. Step 3: Cross multiply
    1,833.99x = 2,530.71 × 1,048.02
  4. Step 4: Simplify right side
    1,833.99x = 2,652,234.69
  5. Step 5: Solve for x
    x = 2,652,234.69/1,833.99
  6. Step 6: Final answer
    x = 1,446.16

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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.