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Finding the Fourth Proportional to 1,635.59, 2,256.37 and 972.07

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Solution

The fourth proportional to 1,635.59, 2,256.37 and 972.07 is: 1,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.59 : 2,256.37 = 972.07 : x
  2. Step 2: Convert to fraction form
    1,635.59/2,256.37 = 972.07/x
  3. Step 3: Cross multiply
    1,635.59x = 2,256.37 × 972.07
  4. Step 4: Simplify right side
    1,635.59x = 2,193,346.98
  5. Step 5: Solve for x
    x = 2,193,346.98/1,635.59
  6. Step 6: Final answer
    x = 1,341.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.