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Finding the Fourth Proportional to 3,031.63, 4,548.12 and 1,570.44

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Solution

The fourth proportional to 3,031.63, 4,548.12 and 1,570.44 is: 2,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.63 : 4,548.12 = 1,570.44 : x
  2. Step 2: Convert to fraction form
    3,031.63/4,548.12 = 1,570.44/x
  3. Step 3: Cross multiply
    3,031.63x = 4,548.12 × 1,570.44
  4. Step 4: Simplify right side
    3,031.63x = 7,142,549.57
  5. Step 5: Solve for x
    x = 7,142,549.57/3,031.63
  6. Step 6: Final answer
    x = 2,356.01

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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.