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Finding the Fourth Proportional to 1,984.02, 2,975.85 and 597.36

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Solution

The fourth proportional to 1,984.02, 2,975.85 and 597.36 is: 895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.02 : 2,975.85 = 597.36 : x
  2. Step 2: Convert to fraction form
    1,984.02/2,975.85 = 597.36/x
  3. Step 3: Cross multiply
    1,984.02x = 2,975.85 × 597.36
  4. Step 4: Simplify right side
    1,984.02x = 1,777,653.76
  5. Step 5: Solve for x
    x = 1,777,653.76/1,984.02
  6. Step 6: Final answer
    x = 895.99

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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.