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Finding the Fourth Proportional to 2,364.49, 3,543.63 and 1,047.79

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Solution

The fourth proportional to 2,364.49, 3,543.63 and 1,047.79 is: 1,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.49 : 3,543.63 = 1,047.79 : x
  2. Step 2: Convert to fraction form
    2,364.49/3,543.63 = 1,047.79/x
  3. Step 3: Cross multiply
    2,364.49x = 3,543.63 × 1,047.79
  4. Step 4: Simplify right side
    2,364.49x = 3,712,980.08
  5. Step 5: Solve for x
    x = 3,712,980.08/2,364.49
  6. Step 6: Final answer
    x = 1,570.31

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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.