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Finding the Fourth Proportional to 1,970.03, 2,698.93 and 1,896.17

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Solution

The fourth proportional to 1,970.03, 2,698.93 and 1,896.17 is: 2,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.03 : 2,698.93 = 1,896.17 : x
  2. Step 2: Convert to fraction form
    1,970.03/2,698.93 = 1,896.17/x
  3. Step 3: Cross multiply
    1,970.03x = 2,698.93 × 1,896.17
  4. Step 4: Simplify right side
    1,970.03x = 5,117,630.10
  5. Step 5: Solve for x
    x = 5,117,630.10/1,970.03
  6. Step 6: Final answer
    x = 2,597.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.