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Finding the Fourth Proportional to 2,424.53, 3,636.79 and 1,602.63

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Solution

The fourth proportional to 2,424.53, 3,636.79 and 1,602.63 is: 2,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.53 : 3,636.79 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    2,424.53/3,636.79 = 1,602.63/x
  3. Step 3: Cross multiply
    2,424.53x = 3,636.79 × 1,602.63
  4. Step 4: Simplify right side
    2,424.53x = 5,828,428.76
  5. Step 5: Solve for x
    x = 5,828,428.76/2,424.53
  6. Step 6: Final answer
    x = 2,403.95

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1.5x scale

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.