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Finding the Fourth Proportional to 1,459.10, 2,186.93 and 534.06

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Solution

The fourth proportional to 1,459.10, 2,186.93 and 534.06 is: 800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.10 : 2,186.93 = 534.06 : x
  2. Step 2: Convert to fraction form
    1,459.10/2,186.93 = 534.06/x
  3. Step 3: Cross multiply
    1,459.10x = 2,186.93 × 534.06
  4. Step 4: Simplify right side
    1,459.10x = 1,167,953.17
  5. Step 5: Solve for x
    x = 1,167,953.17/1,459.10
  6. Step 6: Final answer
    x = 800.46

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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.