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Finding the Fourth Proportional to 1,636.34, 2,257.07 and 1,047.60

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Solution

The fourth proportional to 1,636.34, 2,257.07 and 1,047.60 is: 1,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.34 : 2,257.07 = 1,047.60 : x
  2. Step 2: Convert to fraction form
    1,636.34/2,257.07 = 1,047.60/x
  3. Step 3: Cross multiply
    1,636.34x = 2,257.07 × 1,047.60
  4. Step 4: Simplify right side
    1,636.34x = 2,364,501.29
  5. Step 5: Solve for x
    x = 2,364,501.29/1,636.34
  6. Step 6: Final answer
    x = 1,445.00

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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.