Home / 1,457.64-2,011.50-1,066.32

Finding the Fourth Proportional to 1,457.64, 2,011.50 and 1,066.32

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Solution

The fourth proportional to 1,457.64, 2,011.50 and 1,066.32 is: 1,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.64 : 2,011.50 = 1,066.32 : x
  2. Step 2: Convert to fraction form
    1,457.64/2,011.50 = 1,066.32/x
  3. Step 3: Cross multiply
    1,457.64x = 2,011.50 × 1,066.32
  4. Step 4: Simplify right side
    1,457.64x = 2,144,902.68
  5. Step 5: Solve for x
    x = 2,144,902.68/1,457.64
  6. Step 6: Final answer
    x = 1,471.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.