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Finding the Fourth Proportional to 1,762.16, 2,642.67 and 591.89

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Solution

The fourth proportional to 1,762.16, 2,642.67 and 591.89 is: 887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.16 : 2,642.67 = 591.89 : x
  2. Step 2: Convert to fraction form
    1,762.16/2,642.67 = 591.89/x
  3. Step 3: Cross multiply
    1,762.16x = 2,642.67 × 591.89
  4. Step 4: Simplify right side
    1,762.16x = 1,564,156.73
  5. Step 5: Solve for x
    x = 1,564,156.73/1,762.16
  6. Step 6: Final answer
    x = 887.64

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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.