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Finding the Fourth Proportional to 1,653.68, 2,281.98 and 907.50

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Solution

The fourth proportional to 1,653.68, 2,281.98 and 907.50 is: 1,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.68 : 2,281.98 = 907.50 : x
  2. Step 2: Convert to fraction form
    1,653.68/2,281.98 = 907.50/x
  3. Step 3: Cross multiply
    1,653.68x = 2,281.98 × 907.50
  4. Step 4: Simplify right side
    1,653.68x = 2,070,896.85
  5. Step 5: Solve for x
    x = 2,070,896.85/1,653.68
  6. Step 6: Final answer
    x = 1,252.30

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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.