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Finding the Fourth Proportional to 1,752.36, 2,419.49 and 1,124.50

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Solution

The fourth proportional to 1,752.36, 2,419.49 and 1,124.50 is: 1,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.36 : 2,419.49 = 1,124.50 : x
  2. Step 2: Convert to fraction form
    1,752.36/2,419.49 = 1,124.50/x
  3. Step 3: Cross multiply
    1,752.36x = 2,419.49 × 1,124.50
  4. Step 4: Simplify right side
    1,752.36x = 2,720,710.88
  5. Step 5: Solve for x
    x = 2,720,710.88/1,752.36
  6. Step 6: Final answer
    x = 1,552.60

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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.