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Finding the Fourth Proportional to 1,784.99, 2,460.99 and 1,154.41

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Solution

The fourth proportional to 1,784.99, 2,460.99 and 1,154.41 is: 1,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.99 : 2,460.99 = 1,154.41 : x
  2. Step 2: Convert to fraction form
    1,784.99/2,460.99 = 1,154.41/x
  3. Step 3: Cross multiply
    1,784.99x = 2,460.99 × 1,154.41
  4. Step 4: Simplify right side
    1,784.99x = 2,840,989.64
  5. Step 5: Solve for x
    x = 2,840,989.64/1,784.99
  6. Step 6: Final answer
    x = 1,591.60

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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.