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Finding the Fourth Proportional to 1,761.02, 2,430.23 and 975.11

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Solution

The fourth proportional to 1,761.02, 2,430.23 and 975.11 is: 1,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.02 : 2,430.23 = 975.11 : x
  2. Step 2: Convert to fraction form
    1,761.02/2,430.23 = 975.11/x
  3. Step 3: Cross multiply
    1,761.02x = 2,430.23 × 975.11
  4. Step 4: Simplify right side
    1,761.02x = 2,369,736.70
  5. Step 5: Solve for x
    x = 2,369,736.70/1,761.02
  6. Step 6: Final answer
    x = 1,345.66

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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.