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Finding the Fourth Proportional to 1,525.68, 2,106.36 and 1,002.60

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Solution

The fourth proportional to 1,525.68, 2,106.36 and 1,002.60 is: 1,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.68 : 2,106.36 = 1,002.60 : x
  2. Step 2: Convert to fraction form
    1,525.68/2,106.36 = 1,002.60/x
  3. Step 3: Cross multiply
    1,525.68x = 2,106.36 × 1,002.60
  4. Step 4: Simplify right side
    1,525.68x = 2,111,836.54
  5. Step 5: Solve for x
    x = 2,111,836.54/1,525.68
  6. Step 6: Final answer
    x = 1,384.19

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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.