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Finding the Fourth Proportional to 1,783.52, 2,460.86 and 1,037.09

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Solution

The fourth proportional to 1,783.52, 2,460.86 and 1,037.09 is: 1,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.52 : 2,460.86 = 1,037.09 : x
  2. Step 2: Convert to fraction form
    1,783.52/2,460.86 = 1,037.09/x
  3. Step 3: Cross multiply
    1,783.52x = 2,460.86 × 1,037.09
  4. Step 4: Simplify right side
    1,783.52x = 2,552,115.81
  5. Step 5: Solve for x
    x = 2,552,115.81/1,783.52
  6. Step 6: Final answer
    x = 1,430.95

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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.