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Finding the Fourth Proportional to 1,854.84, 2,782.25 and 744.76

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Solution

The fourth proportional to 1,854.84, 2,782.25 and 744.76 is: 1,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.84 : 2,782.25 = 744.76 : x
  2. Step 2: Convert to fraction form
    1,854.84/2,782.25 = 744.76/x
  3. Step 3: Cross multiply
    1,854.84x = 2,782.25 × 744.76
  4. Step 4: Simplify right side
    1,854.84x = 2,072,090.87
  5. Step 5: Solve for x
    x = 2,072,090.87/1,854.84
  6. Step 6: Final answer
    x = 1,117.13

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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.