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Finding the Fourth Proportional to 1,648.18, 2,482.04 and 1,434.34

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Solution

The fourth proportional to 1,648.18, 2,482.04 and 1,434.34 is: 2,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.18 : 2,482.04 = 1,434.34 : x
  2. Step 2: Convert to fraction form
    1,648.18/2,482.04 = 1,434.34/x
  3. Step 3: Cross multiply
    1,648.18x = 2,482.04 × 1,434.34
  4. Step 4: Simplify right side
    1,648.18x = 3,560,089.25
  5. Step 5: Solve for x
    x = 3,560,089.25/1,648.18
  6. Step 6: Final answer
    x = 2,160.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.