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Finding the Fourth Proportional to 1,746.93, 2,409.18 and 1,562.40

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Solution

The fourth proportional to 1,746.93, 2,409.18 and 1,562.40 is: 2,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.93 : 2,409.18 = 1,562.40 : x
  2. Step 2: Convert to fraction form
    1,746.93/2,409.18 = 1,562.40/x
  3. Step 3: Cross multiply
    1,746.93x = 2,409.18 × 1,562.40
  4. Step 4: Simplify right side
    1,746.93x = 3,764,102.83
  5. Step 5: Solve for x
    x = 3,764,102.83/1,746.93
  6. Step 6: Final answer
    x = 2,154.70

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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.