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Finding the Fourth Proportional to 1,782.84, 2,671.52 and 1,509.47

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Solution

The fourth proportional to 1,782.84, 2,671.52 and 1,509.47 is: 2,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.84 : 2,671.52 = 1,509.47 : x
  2. Step 2: Convert to fraction form
    1,782.84/2,671.52 = 1,509.47/x
  3. Step 3: Cross multiply
    1,782.84x = 2,671.52 × 1,509.47
  4. Step 4: Simplify right side
    1,782.84x = 4,032,558.39
  5. Step 5: Solve for x
    x = 4,032,558.39/1,782.84
  6. Step 6: Final answer
    x = 2,261.87

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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.