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Finding the Fourth Proportional to 1,686.08, 2,528.21 and 907.01

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Solution

The fourth proportional to 1,686.08, 2,528.21 and 907.01 is: 1,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.08 : 2,528.21 = 907.01 : x
  2. Step 2: Convert to fraction form
    1,686.08/2,528.21 = 907.01/x
  3. Step 3: Cross multiply
    1,686.08x = 2,528.21 × 907.01
  4. Step 4: Simplify right side
    1,686.08x = 2,293,107.22
  5. Step 5: Solve for x
    x = 2,293,107.22/1,686.08
  6. Step 6: Final answer
    x = 1,360.02

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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.