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Finding the Fourth Proportional to 2,510.92, 3,465 and 1,462.96

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Solution

The fourth proportional to 2,510.92, 3,465 and 1,462.96 is: 2,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.92 : 3,465 = 1,462.96 : x
  2. Step 2: Convert to fraction form
    2,510.92/3,465 = 1,462.96/x
  3. Step 3: Cross multiply
    2,510.92x = 3,465 × 1,462.96
  4. Step 4: Simplify right side
    2,510.92x = 5,069,156.40
  5. Step 5: Solve for x
    x = 5,069,156.40/2,510.92
  6. Step 6: Final answer
    x = 2,018.84

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1.5x scale

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.