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Finding the Fourth Proportional to 1,904.66, 2,628 and 1,205.63

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Solution

The fourth proportional to 1,904.66, 2,628 and 1,205.63 is: 1,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.66 : 2,628 = 1,205.63 : x
  2. Step 2: Convert to fraction form
    1,904.66/2,628 = 1,205.63/x
  3. Step 3: Cross multiply
    1,904.66x = 2,628 × 1,205.63
  4. Step 4: Simplify right side
    1,904.66x = 3,168,382.50
  5. Step 5: Solve for x
    x = 3,168,382.50/1,904.66
  6. Step 6: Final answer
    x = 1,663.49

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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.