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Finding the Fourth Proportional to 1,588.51, 2,384.71 and 895.73

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Solution

The fourth proportional to 1,588.51, 2,384.71 and 895.73 is: 1,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.51 : 2,384.71 = 895.73 : x
  2. Step 2: Convert to fraction form
    1,588.51/2,384.71 = 895.73/x
  3. Step 3: Cross multiply
    1,588.51x = 2,384.71 × 895.73
  4. Step 4: Simplify right side
    1,588.51x = 2,136,042.13
  5. Step 5: Solve for x
    x = 2,136,042.13/1,588.51
  6. Step 6: Final answer
    x = 1,344.68

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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.