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Finding the Fourth Proportional to 1,468.40, 2,024.88 and 1,026.14

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Solution

The fourth proportional to 1,468.40, 2,024.88 and 1,026.14 is: 1,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.40 : 2,024.88 = 1,026.14 : x
  2. Step 2: Convert to fraction form
    1,468.40/2,024.88 = 1,026.14/x
  3. Step 3: Cross multiply
    1,468.40x = 2,024.88 × 1,026.14
  4. Step 4: Simplify right side
    1,468.40x = 2,077,810.36
  5. Step 5: Solve for x
    x = 2,077,810.36/1,468.40
  6. Step 6: Final answer
    x = 1,415.02

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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.