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Finding the Fourth Proportional to 1,523.02, 2,101.89 and 1,210.86

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Solution

The fourth proportional to 1,523.02, 2,101.89 and 1,210.86 is: 1,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.02 : 2,101.89 = 1,210.86 : x
  2. Step 2: Convert to fraction form
    1,523.02/2,101.89 = 1,210.86/x
  3. Step 3: Cross multiply
    1,523.02x = 2,101.89 × 1,210.86
  4. Step 4: Simplify right side
    1,523.02x = 2,545,093.96
  5. Step 5: Solve for x
    x = 2,545,093.96/1,523.02
  6. Step 6: Final answer
    x = 1,671.08

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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.