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Finding the Fourth Proportional to 1,532.36, 2,298.90 and 436.74

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Solution

The fourth proportional to 1,532.36, 2,298.90 and 436.74 is: 655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.36 : 2,298.90 = 436.74 : x
  2. Step 2: Convert to fraction form
    1,532.36/2,298.90 = 436.74/x
  3. Step 3: Cross multiply
    1,532.36x = 2,298.90 × 436.74
  4. Step 4: Simplify right side
    1,532.36x = 1,004,021.59
  5. Step 5: Solve for x
    x = 1,004,021.59/1,532.36
  6. Step 6: Final answer
    x = 655.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.