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Finding the Fourth Proportional to 1,482.94, 2,048.37 and 1,354.15

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Solution

The fourth proportional to 1,482.94, 2,048.37 and 1,354.15 is: 1,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.94 : 2,048.37 = 1,354.15 : x
  2. Step 2: Convert to fraction form
    1,482.94/2,048.37 = 1,354.15/x
  3. Step 3: Cross multiply
    1,482.94x = 2,048.37 × 1,354.15
  4. Step 4: Simplify right side
    1,482.94x = 2,773,789.99
  5. Step 5: Solve for x
    x = 2,773,789.99/1,482.94
  6. Step 6: Final answer
    x = 1,870.47

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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.