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Finding the Fourth Proportional to 2,482.98, 3,430.65 and 2,006.40

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Solution

The fourth proportional to 2,482.98, 3,430.65 and 2,006.40 is: 2,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.98 : 3,430.65 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    2,482.98/3,430.65 = 2,006.40/x
  3. Step 3: Cross multiply
    2,482.98x = 3,430.65 × 2,006.40
  4. Step 4: Simplify right side
    2,482.98x = 6,883,256.16
  5. Step 5: Solve for x
    x = 6,883,256.16/2,482.98
  6. Step 6: Final answer
    x = 2,772.18

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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.