Home / 1,457.10-2,184.23-532.08

Finding the Fourth Proportional to 1,457.10, 2,184.23 and 532.08

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Solution

The fourth proportional to 1,457.10, 2,184.23 and 532.08 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.10 : 2,184.23 = 532.08 : x
  2. Step 2: Convert to fraction form
    1,457.10/2,184.23 = 532.08/x
  3. Step 3: Cross multiply
    1,457.10x = 2,184.23 × 532.08
  4. Step 4: Simplify right side
    1,457.10x = 1,162,186.43
  5. Step 5: Solve for x
    x = 1,162,186.43/1,457.10
  6. Step 6: Final answer
    x = 797.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.