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Finding the Fourth Proportional to 2,976.56, 4,465.08 and 785.29

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Solution

The fourth proportional to 2,976.56, 4,465.08 and 785.29 is: 1,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.56 : 4,465.08 = 785.29 : x
  2. Step 2: Convert to fraction form
    2,976.56/4,465.08 = 785.29/x
  3. Step 3: Cross multiply
    2,976.56x = 4,465.08 × 785.29
  4. Step 4: Simplify right side
    2,976.56x = 3,506,378.75
  5. Step 5: Solve for x
    x = 3,506,378.75/2,976.56
  6. Step 6: Final answer
    x = 1,178.00

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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.