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Finding the Fourth Proportional to 1,666.49, 2,498.96 and 973.37

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Solution

The fourth proportional to 1,666.49, 2,498.96 and 973.37 is: 1,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.49 : 2,498.96 = 973.37 : x
  2. Step 2: Convert to fraction form
    1,666.49/2,498.96 = 973.37/x
  3. Step 3: Cross multiply
    1,666.49x = 2,498.96 × 973.37
  4. Step 4: Simplify right side
    1,666.49x = 2,432,402.63
  5. Step 5: Solve for x
    x = 2,432,402.63/1,666.49
  6. Step 6: Final answer
    x = 1,459.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.