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Finding the Fourth Proportional to 1,401.94, 2,103.32 and 580.06

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Solution

The fourth proportional to 1,401.94, 2,103.32 and 580.06 is: 870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.94 : 2,103.32 = 580.06 : x
  2. Step 2: Convert to fraction form
    1,401.94/2,103.32 = 580.06/x
  3. Step 3: Cross multiply
    1,401.94x = 2,103.32 × 580.06
  4. Step 4: Simplify right side
    1,401.94x = 1,220,051.80
  5. Step 5: Solve for x
    x = 1,220,051.80/1,401.94
  6. Step 6: Final answer
    x = 870.26

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