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Finding the Fourth Proportional to 1,746, 2,409.52 and 1,047.28

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Solution

The fourth proportional to 1,746, 2,409.52 and 1,047.28 is: 1,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 2,409.52 = 1,047.28 : x
  2. Step 2: Convert to fraction form
    1,746/2,409.52 = 1,047.28/x
  3. Step 3: Cross multiply
    1,746x = 2,409.52 × 1,047.28
  4. Step 4: Simplify right side
    1,746x = 2,523,442.11
  5. Step 5: Solve for x
    x = 2,523,442.11/1,746
  6. Step 6: Final answer
    x = 1,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.