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Finding the Fourth Proportional to 1,734.14, 2,602.73 and 913.01

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Solution

The fourth proportional to 1,734.14, 2,602.73 and 913.01 is: 1,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.14 : 2,602.73 = 913.01 : x
  2. Step 2: Convert to fraction form
    1,734.14/2,602.73 = 913.01/x
  3. Step 3: Cross multiply
    1,734.14x = 2,602.73 × 913.01
  4. Step 4: Simplify right side
    1,734.14x = 2,376,307.79
  5. Step 5: Solve for x
    x = 2,376,307.79/1,734.14
  6. Step 6: Final answer
    x = 1,370.31

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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.