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Finding the Fourth Proportional to 1,823.32, 2,510.22 and 1,663.48

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Solution

The fourth proportional to 1,823.32, 2,510.22 and 1,663.48 is: 2,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.32 : 2,510.22 = 1,663.48 : x
  2. Step 2: Convert to fraction form
    1,823.32/2,510.22 = 1,663.48/x
  3. Step 3: Cross multiply
    1,823.32x = 2,510.22 × 1,663.48
  4. Step 4: Simplify right side
    1,823.32x = 4,175,700.77
  5. Step 5: Solve for x
    x = 4,175,700.77/1,823.32
  6. Step 6: Final answer
    x = 2,290.16

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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.