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Finding the Fourth Proportional to 1,762.95, 2,432.87 and 977.00

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Solution

The fourth proportional to 1,762.95, 2,432.87 and 977.00 is: 1,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.95 : 2,432.87 = 977.00 : x
  2. Step 2: Convert to fraction form
    1,762.95/2,432.87 = 977.00/x
  3. Step 3: Cross multiply
    1,762.95x = 2,432.87 × 977.00
  4. Step 4: Simplify right side
    1,762.95x = 2,376,901.83
  5. Step 5: Solve for x
    x = 2,376,901.83/1,762.95
  6. Step 6: Final answer
    x = 1,348.25

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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.