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Finding the Fourth Proportional to 2,465.68, 3,402.76 and 1,417.76

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Solution

The fourth proportional to 2,465.68, 3,402.76 and 1,417.76 is: 1,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.68 : 3,402.76 = 1,417.76 : x
  2. Step 2: Convert to fraction form
    2,465.68/3,402.76 = 1,417.76/x
  3. Step 3: Cross multiply
    2,465.68x = 3,402.76 × 1,417.76
  4. Step 4: Simplify right side
    2,465.68x = 4,824,297.02
  5. Step 5: Solve for x
    x = 4,824,297.02/2,465.68
  6. Step 6: Final answer
    x = 1,956.58

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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.