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Finding the Fourth Proportional to 2,416.94, 3,627.99 and 1,030.93

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Solution

The fourth proportional to 2,416.94, 3,627.99 and 1,030.93 is: 1,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.94 : 3,627.99 = 1,030.93 : x
  2. Step 2: Convert to fraction form
    2,416.94/3,627.99 = 1,030.93/x
  3. Step 3: Cross multiply
    2,416.94x = 3,627.99 × 1,030.93
  4. Step 4: Simplify right side
    2,416.94x = 3,740,203.73
  5. Step 5: Solve for x
    x = 3,740,203.73/2,416.94
  6. Step 6: Final answer
    x = 1,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.