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Finding the Fourth Proportional to 2,904.66, 4,356.05 and 956.41

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Solution

The fourth proportional to 2,904.66, 4,356.05 and 956.41 is: 1,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.66 : 4,356.05 = 956.41 : x
  2. Step 2: Convert to fraction form
    2,904.66/4,356.05 = 956.41/x
  3. Step 3: Cross multiply
    2,904.66x = 4,356.05 × 956.41
  4. Step 4: Simplify right side
    2,904.66x = 4,166,154.11
  5. Step 5: Solve for x
    x = 4,166,154.11/2,904.66
  6. Step 6: Final answer
    x = 1,434.30

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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.