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Finding the Fourth Proportional to 1,543.35, 2,316.74 and 619.54

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Solution

The fourth proportional to 1,543.35, 2,316.74 and 619.54 is: 930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.35 : 2,316.74 = 619.54 : x
  2. Step 2: Convert to fraction form
    1,543.35/2,316.74 = 619.54/x
  3. Step 3: Cross multiply
    1,543.35x = 2,316.74 × 619.54
  4. Step 4: Simplify right side
    1,543.35x = 1,435,313.10
  5. Step 5: Solve for x
    x = 1,435,313.10/1,543.35
  6. Step 6: Final answer
    x = 930.00

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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.