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Finding the Fourth Proportional to 2,038.17, 3,053.07 and 1,574.31

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Solution

The fourth proportional to 2,038.17, 3,053.07 and 1,574.31 is: 2,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.17 : 3,053.07 = 1,574.31 : x
  2. Step 2: Convert to fraction form
    2,038.17/3,053.07 = 1,574.31/x
  3. Step 3: Cross multiply
    2,038.17x = 3,053.07 × 1,574.31
  4. Step 4: Simplify right side
    2,038.17x = 4,806,478.63
  5. Step 5: Solve for x
    x = 4,806,478.63/2,038.17
  6. Step 6: Final answer
    x = 2,358.23

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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.