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Finding the Fourth Proportional to 1,681.71, 2,522.84 and 586.01

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Solution

The fourth proportional to 1,681.71, 2,522.84 and 586.01 is: 879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.71 : 2,522.84 = 586.01 : x
  2. Step 2: Convert to fraction form
    1,681.71/2,522.84 = 586.01/x
  3. Step 3: Cross multiply
    1,681.71x = 2,522.84 × 586.01
  4. Step 4: Simplify right side
    1,681.71x = 1,478,393.92
  5. Step 5: Solve for x
    x = 1,478,393.92/1,681.71
  6. Step 6: Final answer
    x = 879.10

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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.