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Finding the Fourth Proportional to 1,426.84, 2,140.53 and 502.36

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Solution

The fourth proportional to 1,426.84, 2,140.53 and 502.36 is: 753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.84 : 2,140.53 = 502.36 : x
  2. Step 2: Convert to fraction form
    1,426.84/2,140.53 = 502.36/x
  3. Step 3: Cross multiply
    1,426.84x = 2,140.53 × 502.36
  4. Step 4: Simplify right side
    1,426.84x = 1,075,316.65
  5. Step 5: Solve for x
    x = 1,075,316.65/1,426.84
  6. Step 6: Final answer
    x = 753.64

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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.