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Finding the Fourth Proportional to 3,007.34, 4,509.62 and 926.62

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Solution

The fourth proportional to 3,007.34, 4,509.62 and 926.62 is: 1,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.34 : 4,509.62 = 926.62 : x
  2. Step 2: Convert to fraction form
    3,007.34/4,509.62 = 926.62/x
  3. Step 3: Cross multiply
    3,007.34x = 4,509.62 × 926.62
  4. Step 4: Simplify right side
    3,007.34x = 4,178,704.08
  5. Step 5: Solve for x
    x = 4,178,704.08/3,007.34
  6. Step 6: Final answer
    x = 1,389.50

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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.