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Finding the Fourth Proportional to 1,510.68, 2,266.26 and 817.45

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Solution

The fourth proportional to 1,510.68, 2,266.26 and 817.45 is: 1,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.68 : 2,266.26 = 817.45 : x
  2. Step 2: Convert to fraction form
    1,510.68/2,266.26 = 817.45/x
  3. Step 3: Cross multiply
    1,510.68x = 2,266.26 × 817.45
  4. Step 4: Simplify right side
    1,510.68x = 1,852,547.32
  5. Step 5: Solve for x
    x = 1,852,547.32/1,510.68
  6. Step 6: Final answer
    x = 1,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.