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Finding the Fourth Proportional to 1,715.24, 2,571.32 and 619.35

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Solution

The fourth proportional to 1,715.24, 2,571.32 and 619.35 is: 928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.24 : 2,571.32 = 619.35 : x
  2. Step 2: Convert to fraction form
    1,715.24/2,571.32 = 619.35/x
  3. Step 3: Cross multiply
    1,715.24x = 2,571.32 × 619.35
  4. Step 4: Simplify right side
    1,715.24x = 1,592,547.04
  5. Step 5: Solve for x
    x = 1,592,547.04/1,715.24
  6. Step 6: Final answer
    x = 928.47

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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.