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Finding the Fourth Proportional to 1,841.48, 2,757.34 and 973.16

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Solution

The fourth proportional to 1,841.48, 2,757.34 and 973.16 is: 1,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.48 : 2,757.34 = 973.16 : x
  2. Step 2: Convert to fraction form
    1,841.48/2,757.34 = 973.16/x
  3. Step 3: Cross multiply
    1,841.48x = 2,757.34 × 973.16
  4. Step 4: Simplify right side
    1,841.48x = 2,683,332.99
  5. Step 5: Solve for x
    x = 2,683,332.99/1,841.48
  6. Step 6: Final answer
    x = 1,457.16

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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.