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Finding the Fourth Proportional to 1,602.84, 2,405.88 and 737.76

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Solution

The fourth proportional to 1,602.84, 2,405.88 and 737.76 is: 1,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.84 : 2,405.88 = 737.76 : x
  2. Step 2: Convert to fraction form
    1,602.84/2,405.88 = 737.76/x
  3. Step 3: Cross multiply
    1,602.84x = 2,405.88 × 737.76
  4. Step 4: Simplify right side
    1,602.84x = 1,774,962.03
  5. Step 5: Solve for x
    x = 1,774,962.03/1,602.84
  6. Step 6: Final answer
    x = 1,107.39

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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.