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Finding the Fourth Proportional to 1,653.32, 2,494.98 and 1,598.24

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Solution

The fourth proportional to 1,653.32, 2,494.98 and 1,598.24 is: 2,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.32 : 2,494.98 = 1,598.24 : x
  2. Step 2: Convert to fraction form
    1,653.32/2,494.98 = 1,598.24/x
  3. Step 3: Cross multiply
    1,653.32x = 2,494.98 × 1,598.24
  4. Step 4: Simplify right side
    1,653.32x = 3,987,576.84
  5. Step 5: Solve for x
    x = 3,987,576.84/1,653.32
  6. Step 6: Final answer
    x = 2,411.86

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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.