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Finding the Fourth Proportional to 1,510.71, 2,266.56 and 740.67

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Solution

The fourth proportional to 1,510.71, 2,266.56 and 740.67 is: 1,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.71 : 2,266.56 = 740.67 : x
  2. Step 2: Convert to fraction form
    1,510.71/2,266.56 = 740.67/x
  3. Step 3: Cross multiply
    1,510.71x = 2,266.56 × 740.67
  4. Step 4: Simplify right side
    1,510.71x = 1,678,773.00
  5. Step 5: Solve for x
    x = 1,678,773.00/1,510.71
  6. Step 6: Final answer
    x = 1,111.25

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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.