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Finding the Fourth Proportional to 1,556.53, 2,334.03 and 972.31

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Solution

The fourth proportional to 1,556.53, 2,334.03 and 972.31 is: 1,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.53 : 2,334.03 = 972.31 : x
  2. Step 2: Convert to fraction form
    1,556.53/2,334.03 = 972.31/x
  3. Step 3: Cross multiply
    1,556.53x = 2,334.03 × 972.31
  4. Step 4: Simplify right side
    1,556.53x = 2,269,400.71
  5. Step 5: Solve for x
    x = 2,269,400.71/1,556.53
  6. Step 6: Final answer
    x = 1,457.99

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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.