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Finding the Fourth Proportional to 1,633.51, 2,253.88 and 970.58

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Solution

The fourth proportional to 1,633.51, 2,253.88 and 970.58 is: 1,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.51 : 2,253.88 = 970.58 : x
  2. Step 2: Convert to fraction form
    1,633.51/2,253.88 = 970.58/x
  3. Step 3: Cross multiply
    1,633.51x = 2,253.88 × 970.58
  4. Step 4: Simplify right side
    1,633.51x = 2,187,570.85
  5. Step 5: Solve for x
    x = 2,187,570.85/1,633.51
  6. Step 6: Final answer
    x = 1,339.18

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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.