Home / 1,541.12-2,312.62-924.98

Finding the Fourth Proportional to 1,541.12, 2,312.62 and 924.98

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Solution

The fourth proportional to 1,541.12, 2,312.62 and 924.98 is: 1,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.12 : 2,312.62 = 924.98 : x
  2. Step 2: Convert to fraction form
    1,541.12/2,312.62 = 924.98/x
  3. Step 3: Cross multiply
    1,541.12x = 2,312.62 × 924.98
  4. Step 4: Simplify right side
    1,541.12x = 2,139,113.37
  5. Step 5: Solve for x
    x = 2,139,113.37/1,541.12
  6. Step 6: Final answer
    x = 1,388.03

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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.