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Finding the Fourth Proportional to 1,833.64, 2,530.00 and 1,237.24

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Solution

The fourth proportional to 1,833.64, 2,530.00 and 1,237.24 is: 1,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.64 : 2,530.00 = 1,237.24 : x
  2. Step 2: Convert to fraction form
    1,833.64/2,530.00 = 1,237.24/x
  3. Step 3: Cross multiply
    1,833.64x = 2,530.00 × 1,237.24
  4. Step 4: Simplify right side
    1,833.64x = 3,130,229.81
  5. Step 5: Solve for x
    x = 3,130,229.81/1,833.64
  6. Step 6: Final answer
    x = 1,707.11

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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.