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Finding the Fourth Proportional to 2,510.74, 3,465.23 and 2,400.01

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Solution

The fourth proportional to 2,510.74, 3,465.23 and 2,400.01 is: 3,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.74 : 3,465.23 = 2,400.01 : x
  2. Step 2: Convert to fraction form
    2,510.74/3,465.23 = 2,400.01/x
  3. Step 3: Cross multiply
    2,510.74x = 3,465.23 × 2,400.01
  4. Step 4: Simplify right side
    2,510.74x = 8,316,579.49
  5. Step 5: Solve for x
    x = 8,316,579.49/2,510.74
  6. Step 6: Final answer
    x = 3,312.40

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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.