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Finding the Fourth Proportional to 1,742.51, 2,614.93 and 963.09

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Solution

The fourth proportional to 1,742.51, 2,614.93 and 963.09 is: 1,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.51 : 2,614.93 = 963.09 : x
  2. Step 2: Convert to fraction form
    1,742.51/2,614.93 = 963.09/x
  3. Step 3: Cross multiply
    1,742.51x = 2,614.93 × 963.09
  4. Step 4: Simplify right side
    1,742.51x = 2,518,412.93
  5. Step 5: Solve for x
    x = 2,518,412.93/1,742.51
  6. Step 6: Final answer
    x = 1,445.28

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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.