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Finding the Fourth Proportional to 1,666.53, 2,300.69 and 1,077.40

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Solution

The fourth proportional to 1,666.53, 2,300.69 and 1,077.40 is: 1,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.53 : 2,300.69 = 1,077.40 : x
  2. Step 2: Convert to fraction form
    1,666.53/2,300.69 = 1,077.40/x
  3. Step 3: Cross multiply
    1,666.53x = 2,300.69 × 1,077.40
  4. Step 4: Simplify right side
    1,666.53x = 2,478,768.98
  5. Step 5: Solve for x
    x = 2,478,768.98/1,666.53
  6. Step 6: Final answer
    x = 1,487.38

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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.