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Finding the Fourth Proportional to 1,510.21, 2,264.49 and 469.93

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Solution

The fourth proportional to 1,510.21, 2,264.49 and 469.93 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.21 : 2,264.49 = 469.93 : x
  2. Step 2: Convert to fraction form
    1,510.21/2,264.49 = 469.93/x
  3. Step 3: Cross multiply
    1,510.21x = 2,264.49 × 469.93
  4. Step 4: Simplify right side
    1,510.21x = 1,064,151.79
  5. Step 5: Solve for x
    x = 1,064,151.79/1,510.21
  6. Step 6: Final answer
    x = 704.64

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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.