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Finding the Fourth Proportional to 1,904.95, 2,630.10 and 1,462.06

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Solution

The fourth proportional to 1,904.95, 2,630.10 and 1,462.06 is: 2,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.95 : 2,630.10 = 1,462.06 : x
  2. Step 2: Convert to fraction form
    1,904.95/2,630.10 = 1,462.06/x
  3. Step 3: Cross multiply
    1,904.95x = 2,630.10 × 1,462.06
  4. Step 4: Simplify right side
    1,904.95x = 3,845,364.01
  5. Step 5: Solve for x
    x = 3,845,364.01/1,904.95
  6. Step 6: Final answer
    x = 2,018.62

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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.