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Finding the Fourth Proportional to 1,509.47, 2,264.16 and 619.97

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Solution

The fourth proportional to 1,509.47, 2,264.16 and 619.97 is: 929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.47 : 2,264.16 = 619.97 : x
  2. Step 2: Convert to fraction form
    1,509.47/2,264.16 = 619.97/x
  3. Step 3: Cross multiply
    1,509.47x = 2,264.16 × 619.97
  4. Step 4: Simplify right side
    1,509.47x = 1,403,703.61
  5. Step 5: Solve for x
    x = 1,403,703.61/1,509.47
  6. Step 6: Final answer
    x = 929.93

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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.