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Finding the Fourth Proportional to 1,510.04, 2,264.36 and 535.88

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Solution

The fourth proportional to 1,510.04, 2,264.36 and 535.88 is: 803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.04 : 2,264.36 = 535.88 : x
  2. Step 2: Convert to fraction form
    1,510.04/2,264.36 = 535.88/x
  3. Step 3: Cross multiply
    1,510.04x = 2,264.36 × 535.88
  4. Step 4: Simplify right side
    1,510.04x = 1,213,428.22
  5. Step 5: Solve for x
    x = 1,213,428.22/1,510.04
  6. Step 6: Final answer
    x = 803.57

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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.