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Finding the Fourth Proportional to 1,541.86, 2,128.05 and 904.16

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Solution

The fourth proportional to 1,541.86, 2,128.05 and 904.16 is: 1,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.86 : 2,128.05 = 904.16 : x
  2. Step 2: Convert to fraction form
    1,541.86/2,128.05 = 904.16/x
  3. Step 3: Cross multiply
    1,541.86x = 2,128.05 × 904.16
  4. Step 4: Simplify right side
    1,541.86x = 1,924,103.01
  5. Step 5: Solve for x
    x = 1,924,103.01/1,541.86
  6. Step 6: Final answer
    x = 1,247.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.