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Finding the Fourth Proportional to 1,767.14, 2,438.60 and 970.45

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Solution

The fourth proportional to 1,767.14, 2,438.60 and 970.45 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.14 : 2,438.60 = 970.45 : x
  2. Step 2: Convert to fraction form
    1,767.14/2,438.60 = 970.45/x
  3. Step 3: Cross multiply
    1,767.14x = 2,438.60 × 970.45
  4. Step 4: Simplify right side
    1,767.14x = 2,366,539.37
  5. Step 5: Solve for x
    x = 2,366,539.37/1,767.14
  6. Step 6: Final answer
    x = 1,339.19

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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.