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Finding the Fourth Proportional to 2,125.40, 2,932.95 and 1,228.99

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Solution

The fourth proportional to 2,125.40, 2,932.95 and 1,228.99 is: 1,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.40 : 2,932.95 = 1,228.99 : x
  2. Step 2: Convert to fraction form
    2,125.40/2,932.95 = 1,228.99/x
  3. Step 3: Cross multiply
    2,125.40x = 2,932.95 × 1,228.99
  4. Step 4: Simplify right side
    2,125.40x = 3,604,574.32
  5. Step 5: Solve for x
    x = 3,604,574.32/2,125.40
  6. Step 6: Final answer
    x = 1,695.95

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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.