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Finding the Fourth Proportional to 1,697.74, 2,547.41 and 602.62

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Solution

The fourth proportional to 1,697.74, 2,547.41 and 602.62 is: 904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.74 : 2,547.41 = 602.62 : x
  2. Step 2: Convert to fraction form
    1,697.74/2,547.41 = 602.62/x
  3. Step 3: Cross multiply
    1,697.74x = 2,547.41 × 602.62
  4. Step 4: Simplify right side
    1,697.74x = 1,535,110.83
  5. Step 5: Solve for x
    x = 1,535,110.83/1,697.74
  6. Step 6: Final answer
    x = 904.21

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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.