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Finding the Fourth Proportional to 1,762.27, 2,643.71 and 592.39

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Solution

The fourth proportional to 1,762.27, 2,643.71 and 592.39 is: 888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.27 : 2,643.71 = 592.39 : x
  2. Step 2: Convert to fraction form
    1,762.27/2,643.71 = 592.39/x
  3. Step 3: Cross multiply
    1,762.27x = 2,643.71 × 592.39
  4. Step 4: Simplify right side
    1,762.27x = 1,566,094.15
  5. Step 5: Solve for x
    x = 1,566,094.15/1,762.27
  6. Step 6: Final answer
    x = 888.68

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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.