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Finding the Fourth Proportional to 1,680.51, 2,320.24 and 1,502.92

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Solution

The fourth proportional to 1,680.51, 2,320.24 and 1,502.92 is: 2,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.51 : 2,320.24 = 1,502.92 : x
  2. Step 2: Convert to fraction form
    1,680.51/2,320.24 = 1,502.92/x
  3. Step 3: Cross multiply
    1,680.51x = 2,320.24 × 1,502.92
  4. Step 4: Simplify right side
    1,680.51x = 3,487,135.10
  5. Step 5: Solve for x
    x = 3,487,135.10/1,680.51
  6. Step 6: Final answer
    x = 2,075.05

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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.