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Finding the Fourth Proportional to 1,904.49, 2,858.76 and 1,357.74

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Solution

The fourth proportional to 1,904.49, 2,858.76 and 1,357.74 is: 2,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.49 : 2,858.76 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    1,904.49/2,858.76 = 1,357.74/x
  3. Step 3: Cross multiply
    1,904.49x = 2,858.76 × 1,357.74
  4. Step 4: Simplify right side
    1,904.49x = 3,881,452.80
  5. Step 5: Solve for x
    x = 3,881,452.80/1,904.49
  6. Step 6: Final answer
    x = 2,038.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.