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Finding the Fourth Proportional to 1,495.22, 2,238.80 and 973.66

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Solution

The fourth proportional to 1,495.22, 2,238.80 and 973.66 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.22 : 2,238.80 = 973.66 : x
  2. Step 2: Convert to fraction form
    1,495.22/2,238.80 = 973.66/x
  3. Step 3: Cross multiply
    1,495.22x = 2,238.80 × 973.66
  4. Step 4: Simplify right side
    1,495.22x = 2,179,830.01
  5. Step 5: Solve for x
    x = 2,179,830.01/1,495.22
  6. Step 6: Final answer
    x = 1,457.87

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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.