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Finding the Fourth Proportional to 1,356.07, 2,029.65 and 1,029.64

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Solution

The fourth proportional to 1,356.07, 2,029.65 and 1,029.64 is: 1,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.07 : 2,029.65 = 1,029.64 : x
  2. Step 2: Convert to fraction form
    1,356.07/2,029.65 = 1,029.64/x
  3. Step 3: Cross multiply
    1,356.07x = 2,029.65 × 1,029.64
  4. Step 4: Simplify right side
    1,356.07x = 2,089,808.83
  5. Step 5: Solve for x
    x = 2,089,808.83/1,356.07
  6. Step 6: Final answer
    x = 1,541.08

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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.