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Finding the Fourth Proportional to 2,903.64, 4,356.24 and 1,054.92

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Solution

The fourth proportional to 2,903.64, 4,356.24 and 1,054.92 is: 1,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.64 : 4,356.24 = 1,054.92 : x
  2. Step 2: Convert to fraction form
    2,903.64/4,356.24 = 1,054.92/x
  3. Step 3: Cross multiply
    2,903.64x = 4,356.24 × 1,054.92
  4. Step 4: Simplify right side
    2,903.64x = 4,595,484.70
  5. Step 5: Solve for x
    x = 4,595,484.70/2,903.64
  6. Step 6: Final answer
    x = 1,582.66

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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.