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Finding the Fourth Proportional to 1,584.36, 2,376.54 and 1,547.91

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Solution

The fourth proportional to 1,584.36, 2,376.54 and 1,547.91 is: 2,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,376.54 = 1,547.91 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,376.54 = 1,547.91/x
  3. Step 3: Cross multiply
    1,584.36x = 2,376.54 × 1,547.91
  4. Step 4: Simplify right side
    1,584.36x = 3,678,670.03
  5. Step 5: Solve for x
    x = 3,678,670.03/1,584.36
  6. Step 6: Final answer
    x = 2,321.87

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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.