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Finding the Fourth Proportional to 1,509.54, 2,264 and 1,435.48

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Solution

The fourth proportional to 1,509.54, 2,264 and 1,435.48 is: 2,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.54 : 2,264 = 1,435.48 : x
  2. Step 2: Convert to fraction form
    1,509.54/2,264 = 1,435.48/x
  3. Step 3: Cross multiply
    1,509.54x = 2,264 × 1,435.48
  4. Step 4: Simplify right side
    1,509.54x = 3,249,926.72
  5. Step 5: Solve for x
    x = 3,249,926.72/1,509.54
  6. Step 6: Final answer
    x = 2,152.93

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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.