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Finding the Fourth Proportional to 1,653.72, 2,476.98 and 1,459.32

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Solution

The fourth proportional to 1,653.72, 2,476.98 and 1,459.32 is: 2,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.72 : 2,476.98 = 1,459.32 : x
  2. Step 2: Convert to fraction form
    1,653.72/2,476.98 = 1,459.32/x
  3. Step 3: Cross multiply
    1,653.72x = 2,476.98 × 1,459.32
  4. Step 4: Simplify right side
    1,653.72x = 3,614,706.45
  5. Step 5: Solve for x
    x = 3,614,706.45/1,653.72
  6. Step 6: Final answer
    x = 2,185.80

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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.