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Finding the Fourth Proportional to 2,925.65, 4,384.32 and 2,264.45

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Solution

The fourth proportional to 2,925.65, 4,384.32 and 2,264.45 is: 3,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.65 : 4,384.32 = 2,264.45 : x
  2. Step 2: Convert to fraction form
    2,925.65/4,384.32 = 2,264.45/x
  3. Step 3: Cross multiply
    2,925.65x = 4,384.32 × 2,264.45
  4. Step 4: Simplify right side
    2,925.65x = 9,928,051.50
  5. Step 5: Solve for x
    x = 9,928,051.50/2,925.65
  6. Step 6: Final answer
    x = 3,393.46

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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.