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Finding the Fourth Proportional to 1,375.93, 1,899.35 and 1,026.01

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Solution

The fourth proportional to 1,375.93, 1,899.35 and 1,026.01 is: 1,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.93 : 1,899.35 = 1,026.01 : x
  2. Step 2: Convert to fraction form
    1,375.93/1,899.35 = 1,026.01/x
  3. Step 3: Cross multiply
    1,375.93x = 1,899.35 × 1,026.01
  4. Step 4: Simplify right side
    1,375.93x = 1,948,746.96
  5. Step 5: Solve for x
    x = 1,948,746.96/1,375.93
  6. Step 6: Final answer
    x = 1,416.31

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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.