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Finding the Fourth Proportional to 1,417.84, 2,126.15 and 551.55

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Solution

The fourth proportional to 1,417.84, 2,126.15 and 551.55 is: 827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.84 : 2,126.15 = 551.55 : x
  2. Step 2: Convert to fraction form
    1,417.84/2,126.15 = 551.55/x
  3. Step 3: Cross multiply
    1,417.84x = 2,126.15 × 551.55
  4. Step 4: Simplify right side
    1,417.84x = 1,172,678.03
  5. Step 5: Solve for x
    x = 1,172,678.03/1,417.84
  6. Step 6: Final answer
    x = 827.09

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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.