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Finding the Fourth Proportional to 1,564.37, 2,347.37 and 1,135.07

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Solution

The fourth proportional to 1,564.37, 2,347.37 and 1,135.07 is: 1,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.37 : 2,347.37 = 1,135.07 : x
  2. Step 2: Convert to fraction form
    1,564.37/2,347.37 = 1,135.07/x
  3. Step 3: Cross multiply
    1,564.37x = 2,347.37 × 1,135.07
  4. Step 4: Simplify right side
    1,564.37x = 2,664,429.27
  5. Step 5: Solve for x
    x = 2,664,429.27/1,564.37
  6. Step 6: Final answer
    x = 1,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.