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Finding the Fourth Proportional to 1,666.34, 2,299.62 and 920.40

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Solution

The fourth proportional to 1,666.34, 2,299.62 and 920.40 is: 1,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.34 : 2,299.62 = 920.40 : x
  2. Step 2: Convert to fraction form
    1,666.34/2,299.62 = 920.40/x
  3. Step 3: Cross multiply
    1,666.34x = 2,299.62 × 920.40
  4. Step 4: Simplify right side
    1,666.34x = 2,116,570.25
  5. Step 5: Solve for x
    x = 2,116,570.25/1,666.34
  6. Step 6: Final answer
    x = 1,270.19

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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.