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Finding the Fourth Proportional to 1,457.81, 2,186.72 and 533.40

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Solution

The fourth proportional to 1,457.81, 2,186.72 and 533.40 is: 800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.81 : 2,186.72 = 533.40 : x
  2. Step 2: Convert to fraction form
    1,457.81/2,186.72 = 533.40/x
  3. Step 3: Cross multiply
    1,457.81x = 2,186.72 × 533.40
  4. Step 4: Simplify right side
    1,457.81x = 1,166,396.45
  5. Step 5: Solve for x
    x = 1,166,396.45/1,457.81
  6. Step 6: Final answer
    x = 800.10

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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.