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Finding the Fourth Proportional to 1,690.16, 2,531.88 and 1,042.16

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Solution

The fourth proportional to 1,690.16, 2,531.88 and 1,042.16 is: 1,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.16 : 2,531.88 = 1,042.16 : x
  2. Step 2: Convert to fraction form
    1,690.16/2,531.88 = 1,042.16/x
  3. Step 3: Cross multiply
    1,690.16x = 2,531.88 × 1,042.16
  4. Step 4: Simplify right side
    1,690.16x = 2,638,624.06
  5. Step 5: Solve for x
    x = 2,638,624.06/1,690.16
  6. Step 6: Final answer
    x = 1,561.17

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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.