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Finding the Fourth Proportional to 1,686.25, 2,328.13 and 1,089.01

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Solution

The fourth proportional to 1,686.25, 2,328.13 and 1,089.01 is: 1,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.25 : 2,328.13 = 1,089.01 : x
  2. Step 2: Convert to fraction form
    1,686.25/2,328.13 = 1,089.01/x
  3. Step 3: Cross multiply
    1,686.25x = 2,328.13 × 1,089.01
  4. Step 4: Simplify right side
    1,686.25x = 2,535,339.77
  5. Step 5: Solve for x
    x = 2,535,339.77/1,686.25
  6. Step 6: Final answer
    x = 1,503.54

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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.