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Finding the Fourth Proportional to 1,541.65, 2,312.20 and 501.50

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Solution

The fourth proportional to 1,541.65, 2,312.20 and 501.50 is: 752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.65 : 2,312.20 = 501.50 : x
  2. Step 2: Convert to fraction form
    1,541.65/2,312.20 = 501.50/x
  3. Step 3: Cross multiply
    1,541.65x = 2,312.20 × 501.50
  4. Step 4: Simplify right side
    1,541.65x = 1,159,555.49
  5. Step 5: Solve for x
    x = 1,159,555.49/1,541.65
  6. Step 6: Final answer
    x = 752.15

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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.