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Finding the Fourth Proportional to 2,534.47, 3,803.63 and 1,656.72

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Solution

The fourth proportional to 2,534.47, 3,803.63 and 1,656.72 is: 2,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.47 : 3,803.63 = 1,656.72 : x
  2. Step 2: Convert to fraction form
    2,534.47/3,803.63 = 1,656.72/x
  3. Step 3: Cross multiply
    2,534.47x = 3,803.63 × 1,656.72
  4. Step 4: Simplify right side
    2,534.47x = 6,301,549.89
  5. Step 5: Solve for x
    x = 6,301,549.89/2,534.47
  6. Step 6: Final answer
    x = 2,486.34

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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.