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Finding the Fourth Proportional to 2,717.42, 3,748.55 and 1,772.01

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Solution

The fourth proportional to 2,717.42, 3,748.55 and 1,772.01 is: 2,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.42 : 3,748.55 = 1,772.01 : x
  2. Step 2: Convert to fraction form
    2,717.42/3,748.55 = 1,772.01/x
  3. Step 3: Cross multiply
    2,717.42x = 3,748.55 × 1,772.01
  4. Step 4: Simplify right side
    2,717.42x = 6,642,459.23
  5. Step 5: Solve for x
    x = 6,642,459.23/2,717.42
  6. Step 6: Final answer
    x = 2,444.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.