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Finding the Fourth Proportional to 1,762.23, 2,642.72 and 592.52

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Solution

The fourth proportional to 1,762.23, 2,642.72 and 592.52 is: 888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.23 : 2,642.72 = 592.52 : x
  2. Step 2: Convert to fraction form
    1,762.23/2,642.72 = 592.52/x
  3. Step 3: Cross multiply
    1,762.23x = 2,642.72 × 592.52
  4. Step 4: Simplify right side
    1,762.23x = 1,565,868.10
  5. Step 5: Solve for x
    x = 1,565,868.10/1,762.23
  6. Step 6: Final answer
    x = 888.57

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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.