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Finding the Fourth Proportional to 1,925.84, 2,888.76 and 465.00

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Solution

The fourth proportional to 1,925.84, 2,888.76 and 465.00 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.84 : 2,888.76 = 465.00 : x
  2. Step 2: Convert to fraction form
    1,925.84/2,888.76 = 465.00/x
  3. Step 3: Cross multiply
    1,925.84x = 2,888.76 × 465.00
  4. Step 4: Simplify right side
    1,925.84x = 1,343,264.31
  5. Step 5: Solve for x
    x = 1,343,264.31/1,925.84
  6. Step 6: Final answer
    x = 697.49

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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.