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Finding the Fourth Proportional to 1,762, 2,656.25 and 1,643.08

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Solution

The fourth proportional to 1,762, 2,656.25 and 1,643.08 is: 2,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762 : 2,656.25 = 1,643.08 : x
  2. Step 2: Convert to fraction form
    1,762/2,656.25 = 1,643.08/x
  3. Step 3: Cross multiply
    1,762x = 2,656.25 × 1,643.08
  4. Step 4: Simplify right side
    1,762x = 4,364,431.25
  5. Step 5: Solve for x
    x = 4,364,431.25/1,762
  6. Step 6: Final answer
    x = 2,476.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.