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Finding the Fourth Proportional to 1,772.10, 2,671.43 and 1,653.17

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Solution

The fourth proportional to 1,772.10, 2,671.43 and 1,653.17 is: 2,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.10 : 2,671.43 = 1,653.17 : x
  2. Step 2: Convert to fraction form
    1,772.10/2,671.43 = 1,653.17/x
  3. Step 3: Cross multiply
    1,772.10x = 2,671.43 × 1,653.17
  4. Step 4: Simplify right side
    1,772.10x = 4,416,306.31
  5. Step 5: Solve for x
    x = 4,416,306.31/1,772.10
  6. Step 6: Final answer
    x = 2,492.13

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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.