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Finding the Fourth Proportional to 1,666.35, 2,500.34 and 973.53

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Solution

The fourth proportional to 1,666.35, 2,500.34 and 973.53 is: 1,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.35 : 2,500.34 = 973.53 : x
  2. Step 2: Convert to fraction form
    1,666.35/2,500.34 = 973.53/x
  3. Step 3: Cross multiply
    1,666.35x = 2,500.34 × 973.53
  4. Step 4: Simplify right side
    1,666.35x = 2,434,151.13
  5. Step 5: Solve for x
    x = 2,434,151.13/1,666.35
  6. Step 6: Final answer
    x = 1,460.77

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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.