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Finding the Fourth Proportional to 1,556.28, 2,333.66 and 972.05

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Solution

The fourth proportional to 1,556.28, 2,333.66 and 972.05 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.28 : 2,333.66 = 972.05 : x
  2. Step 2: Convert to fraction form
    1,556.28/2,333.66 = 972.05/x
  3. Step 3: Cross multiply
    1,556.28x = 2,333.66 × 972.05
  4. Step 4: Simplify right side
    1,556.28x = 2,268,417.67
  5. Step 5: Solve for x
    x = 2,268,417.67/1,556.28
  6. Step 6: Final answer
    x = 1,457.59

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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.