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Finding the Fourth Proportional to 2,368.52, 3,549.06 and 1,501

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Solution

The fourth proportional to 2,368.52, 3,549.06 and 1,501 is: 2,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.52 : 3,549.06 = 1,501 : x
  2. Step 2: Convert to fraction form
    2,368.52/3,549.06 = 1,501/x
  3. Step 3: Cross multiply
    2,368.52x = 3,549.06 × 1,501
  4. Step 4: Simplify right side
    2,368.52x = 5,327,139.06
  5. Step 5: Solve for x
    x = 5,327,139.06/2,368.52
  6. Step 6: Final answer
    x = 2,249.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.