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Finding the Fourth Proportional to 1,339.50, 1,846.47 and 1,152

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Solution

The fourth proportional to 1,339.50, 1,846.47 and 1,152 is: 1,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.50 : 1,846.47 = 1,152 : x
  2. Step 2: Convert to fraction form
    1,339.50/1,846.47 = 1,152/x
  3. Step 3: Cross multiply
    1,339.50x = 1,846.47 × 1,152
  4. Step 4: Simplify right side
    1,339.50x = 2,127,133.44
  5. Step 5: Solve for x
    x = 2,127,133.44/1,339.50
  6. Step 6: Final answer
    x = 1,588.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.