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Finding the Fourth Proportional to 1,510.30, 2,264.64 and 469.86

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Solution

The fourth proportional to 1,510.30, 2,264.64 and 469.86 is: 704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.30 : 2,264.64 = 469.86 : x
  2. Step 2: Convert to fraction form
    1,510.30/2,264.64 = 469.86/x
  3. Step 3: Cross multiply
    1,510.30x = 2,264.64 × 469.86
  4. Step 4: Simplify right side
    1,510.30x = 1,064,063.75
  5. Step 5: Solve for x
    x = 1,064,063.75/1,510.30
  6. Step 6: Final answer
    x = 704.54

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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.