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Finding the Fourth Proportional to 1,400.98, 2,102.52 and 1,130.32

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Solution

The fourth proportional to 1,400.98, 2,102.52 and 1,130.32 is: 1,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.98 : 2,102.52 = 1,130.32 : x
  2. Step 2: Convert to fraction form
    1,400.98/2,102.52 = 1,130.32/x
  3. Step 3: Cross multiply
    1,400.98x = 2,102.52 × 1,130.32
  4. Step 4: Simplify right side
    1,400.98x = 2,376,520.41
  5. Step 5: Solve for x
    x = 2,376,520.41/1,400.98
  6. Step 6: Final answer
    x = 1,696.33

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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.