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Finding the Fourth Proportional to 2,504.50, 3,756.07 and 944.40

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Solution

The fourth proportional to 2,504.50, 3,756.07 and 944.40 is: 1,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.50 : 3,756.07 = 944.40 : x
  2. Step 2: Convert to fraction form
    2,504.50/3,756.07 = 944.40/x
  3. Step 3: Cross multiply
    2,504.50x = 3,756.07 × 944.40
  4. Step 4: Simplify right side
    2,504.50x = 3,547,232.51
  5. Step 5: Solve for x
    x = 3,547,232.51/2,504.50
  6. Step 6: Final answer
    x = 1,416.34

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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.