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Finding the Fourth Proportional to 1,685.51, 2,515.08 and 1,510.40

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Solution

The fourth proportional to 1,685.51, 2,515.08 and 1,510.40 is: 2,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.51 : 2,515.08 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    1,685.51/2,515.08 = 1,510.40/x
  3. Step 3: Cross multiply
    1,685.51x = 2,515.08 × 1,510.40
  4. Step 4: Simplify right side
    1,685.51x = 3,798,764.26
  5. Step 5: Solve for x
    x = 3,798,764.26/1,685.51
  6. Step 6: Final answer
    x = 2,253.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.