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Finding the Fourth Proportional to 1,580.01, 2,369.86 and 890.95

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Solution

The fourth proportional to 1,580.01, 2,369.86 and 890.95 is: 1,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.01 : 2,369.86 = 890.95 : x
  2. Step 2: Convert to fraction form
    1,580.01/2,369.86 = 890.95/x
  3. Step 3: Cross multiply
    1,580.01x = 2,369.86 × 890.95
  4. Step 4: Simplify right side
    1,580.01x = 2,111,423.06
  5. Step 5: Solve for x
    x = 2,111,423.06/1,580.01
  6. Step 6: Final answer
    x = 1,336.34

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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.